Raw-3
1) If |x|< 1, then the coefficient of xⁿ in (1+ 2x + 3x² + 4x³+....∞)¹⁾² is
a) n b) n+1 c) 1 d) -1
2) The sum of infinity terms of GP (√2+1)/(√2-1), 1/(2- √2), 1/2,.....∞ is
a) 3+2√2 b) 4+3√2 c) 2+3√2 d) 4 +2√2
3) The coefficient of
xᵖ and xᑫ in the expansion of (1+ x)ᵖ⁺ᑫ are
a) equal b) equal with opposite signs c) reciprocal to each other d) none
4) The sum of the infinite series 1/2! + 1/4! + 1/6!+.....∞ is
a) (e² -2)/e b) (e² -1)/2 c) (e² -1)/2e d) (e -1)²/2e
5) If zᵣ = cos(π/2ʳ) + i sin(π/2ʳ), then the value of (z₁. z₂. z₃......∞) is
a) -3 b) -2 c) -1 d) 1
6) The coefficient of x³ in the expansion of 3ˣ is
a) (logₑ3)³/6
b) 3³/6
c) (logₑ3)³/3
d) (logₑ3)/2
7) The value of {(x -1)/(x +1) + (1/2) (x² -1)/(x +1)² + (1/3) (x³ -1)/(x +1)³+....∞) is
a) (1/2)logₑ(x +1)
b) logₑx
c) logₑ{x/(x +1)}
d) logₑ{(x +1)/x}
8) the positive integer just greater than (1+ 0.0001)¹⁰⁰⁰⁰ is
a) 4 b) 5 c) 3 d) 2
9) The value of ∞ᵣ₌₁ ∑ ⁿCᵣ/ⁿPᵣ is
a) e b) e+1 c) e -2 d) e -1
10) The value of (1+ C₁/C₀)(1+ C₂/C₁)(1+ C₃/C₂).....(1+ Cₙ/Cₙ₋₁) is
a) (n +1)ⁿ/n!
b) (n +1)/n!
c) (n +1)ⁿ/(n -1)!
d) (n -1)ⁿ/n!
11) The natural number n for which the Inequality 2ⁿ > 2n +1 is valid, is
a) n> 3 b) n ≥ 3 c) n≥ 2 d) none
12) If (1+ x)¹⁵ = a₀ + a₁x + a₂x²+.....a₁₅x¹⁵, then the value of ¹⁵∑ᵣ₌₁ r. aᵣ/aᵣ₋₁ is
a) 110 b) 115 c) 120 d) 135
13) Two events A and B are such that P(A)= 1/4, P(B/A)= 1/2 and P(A/B)= 1/4; then the value of P(Aᶜ/Bᶜ) is
14) The probability that a regularly scheduled flight departs on time 0.9, the probability that it arrives on time is 0.8 and the probability that is departs and arrives on time is 0.7. then the probability that a plane arrives on time, given that it departs on time, is
a) 0.72 b) 8/9 c) 7/9 d) 0.56
15) A sample of 4 item is drawn at random from a lot of 10 items, containing 3 defectives. If x denotes the number of defective items in the sample, then P(0<x< 3) is equals to
a) 4/5 b) 3/10 c) 1/2 d) 1/6
16) A and B are two independent event such that P(A)= 1/2 and P(B)= 1/3. Then the value of P(A' ∩B') is
a) 2/3 b) 1/6 c) 5/6 d) 1/3
17) if n things are arranged at random in a row then the probability that m particular things are never together is
a) m!(n - m)!/n!
b) 1- m!(n - m)!/n!
c) 1- m!/n!
d) 1- m!(n - m +1)!/n!
18) A= 3 5 & B= 1 17
2 0 0 -10 then |AB| is equal to
a) 80 b) 100 c) -110 d) 92
19) The inverse matrix
5 -2
3 1
a)
20) If Aᵢ = aⁱ bⁱ
bⁱ aⁱ and|a|< 1, |b|< 1, then the value of ∞ᵢ₌ᵢ ∑ det(Aᵢ) is
a) (a² - b²)/{(1- a²)(1- b²)}
b) a²/{(1- a²) - b²(1- b²)}
c) a²/{(1- a²) + b²(1- b²)}
d) a²/{(1+ a²) - b²(1+ b²)}
21) If A is singular matrix of order n then A. (adj A) is equal to
a) a null matrix
b) A row matrix
c) A column matrix d) none
22) In the determinant of the matrix
a₁ b₁ c₁
a₂ b₂ c₂
a₃ b₃ c₃ is denoted by D, then the determinant of the matrix
a₁+ 3b₁ - c₁ b₁ 4c₁
a₂+ 3b₂ -4c₂ b₂ 4c₂
a₃ +3b₃ - 4c₃ b₃ 4c₃
a) D b) 2D c) 3D d) 4D
23) x -2 2x -3 3x -4
x -4 2x-9 3x-16 = 0
x-8 2x-27 3x-64
Then the value of x is
a) -2 b) 3 c) 4 d) 0
24) If a,b,c,d,e and f are in GP then the value of
a² d² x
b² e² y
c² f² z
depends on
a) x and y b) y and z c) z and x d) none of x, y, z
25) If a,b,c are respectively the pth, qth, rth terms of an AP, then the value of
a p 1
b q 1
c r 1 is
a) p+q+r b) 0 c) 1 d) pqr
26) If for a triangle ABC, the determinant
1 a b
1 c a= 0
1 b c
Then the value of sin²A+ sin²B + sin²C is
a) 4/9 b) 9/4 c) 1 d) 3√3/4
27) The middle term in the expansion of (1+ x)²ⁿ is
a) (2n)!xⁿ/n!
b) (2n)!xⁿ⁺¹/n!(n-1)!
c) (2n)!xⁿ/(n!)²
d) (2n)!xⁿ/{(n +1)!(n -1)!
28) If xₙ = cos(π/3ⁿ) + i sin(π/3ⁿ), then the value of (x₁x₂x₃) is
a) i b) - I c) 1 d) -1
29) The locus of a point which moves such that the difference of its distances from two fixed points is always a constant, is
a) a circle b) a straight line c) an ellipse d) a hyperbola
30) The equation of the directrix of the parabola x² - 4x - 8y +12=0 is
a) y= 0 b) x= 1 c) y= -1 d) x= -1
31) The curve a²y² = b²(a² - x²) is symmetrical about
a) x-axis b) y-axis c) both axis d) none
32) Which of the following points lies on the parabola x² = 4ay ?
a) (at²,2at) b) (at, at²) c) (2at²,at) d) (2at,at²)
33) The foci of the ellipse x²/16 + y²/b² = 1 and the hyperbola x²/144 - y²/81 = 1/25 coincide. Then the value of b² is
a) 9 b) 7 c) 5 d) 1
34) The distance from the major axis of any points on the ellipse x²/a² + y²/b² = 1 and the distance of its corresponding point on the auxiliary circle are in the ratio
a) b/a b) a/b c) a²/b² d) b²/a²
35) For the ellipse 25x² + 9y² - 150x - 90y+ 225= 0, ecccentricity is equal to
a) 2/5 b) 3/5 c) 4/5 d) 1/5
36) What is the difference of the focal distances of any point on a hyperbola ?
a) eccentricity
b) length of transverse axis
c) distance between the foci
d) length of semitransverse axis
37) Equation of the circle passing through the intersection of the ellipse x²/a² + y²/b² = 1 and x²/b² + y²/a² = 1 is
a) x²+ y² = a²
b) x²+ y² = b²
c) x²+ y² = a²b²/(a²+ b²)
d) x²+ y² = 2a²b²/(a²+ b²)
38) The focal distance of the point 't' on the parabola y²= 4ax is
a) at² b) a(1+ t²) c) a(t + 1/t)² d) a/t²
39) A circle touches the x-axis and also touches the circle with centre at (0,3) and radius 2. Then the locus of the centre of the circle is
a) a parabola b) a hyperbola c) an ellipse d) a circle
40) Let P be the point (1,0) and Q a point on the parabola y²= 8x; than the locus of midpoint of PQ is
a) x²+ 4y +2=0
b) x²- 4y +2=0
c) y²- 4x +2=0
d) y²+ 4x +2=0
1c 2b 3a 4d 5c 6a 7b 8c 9d 10a 11b 12c 13b 14c 15a 16d 17d 18b 19c 20a 21a 22d 23c 24d 25b 26b 27c 28a 29d 30c 31c 32d 33b 34a 35c 36b 37d 38b 39a 40c
Raw-4
αβ²³₂²³²²³³₁₂₁₂₁₂₁₂₁₂₁₂₁₂ₙ₌₁²ₙ₌₁ⁿₙ₌₁ⁿⁿ¹⁾²³ˣⁿⁿ⁻¹⁵²⁵⁻⁴¹⁰³³³³³³³³³³³³³³³²²²²²²²²²²²²³⁴³⁴³⁴²²²³³³⁻¹⁻¹⁻¹⁻¹⁻¹²²²²²²²²²²²²²²²²²²²²ᵏⁿ³⁵²⁵³⁵⁴⁶α ⁵²³²²²²²²²²²²²²²²²₁₁₂₂₁₂²²²²²²
Raw-5
²
²¹⁰⁰ⁿⁿ⁺²∈¹⁾⁴¹⁾⁸¹⁾¹⁶ ∞ ∞² ∩ ⁿ² ω ¹⁰¹⁰∩²³³³ⁿⁿⁿⁿⁿⁿⁿⁿ²²²³²³³³³³²²₁₂₃₁₂₃₁₁₂₂₃₃θ λ ₑ
Raw-2
1) Assuming that the sums and products given below are defined, which of the following is not true for matrices?
a) AB= AC does not imply B= C
b) A+ B= B + A
c) (AB)'- B' A'
d) AB= O implies A= O or B= O
2) The sum of the coefficients in the expansion of (1+ x - 3x²)¹⁰⁰ is
a) 100 b) -100 c) 1 d) -1
3) A fair die is thrown till we get 6; then the probability of getting 6 exactly in even number of turns is
a) 11/36 b) 5/11 c) 6/11 d) 1/6
4) 10ⁿ + 3. 4ⁿ⁺² + 5 is always divisible by (for all n ∈ N)
a) 9 b) 7 c) 5 d) 17
5) The value of 2¹⁾⁴. 4¹⁾⁸. 8¹⁾¹⁶ .....∞ is
a) 1 b) 3/2 c) 2 d) 4
6) If l, m, n are pth, qth and r-th terms of a GP, all positive, then the value of
| log l p 1
log m q 1
log n r 1 is
a) -1 b) 2 c) 1 d) 0
7) The value of 2/3! + 4/5! + 6/7! + .....∞ is
a) e b) 1/e c) 2e d) e²
8) A and B are two events such that P(AUB)=3/4, P(A∩ B)= 1/4, P(A)= 2/3; then the value of P(A∩B) is
a) 5/12 b) 3/8 c) 5/8 d) 1/4
9) One root of the equation
x + a b c
b x+ c a = 0 is
c a x+ b
a) a+ b b) -(b + c) c) - a d) -(a+ b + c)
10) The first three terms in the expansion of (1+ ax)ⁿ and 1,6x and 16x²; then the values of a and b are
a) a= 2, n= 9 b) a= 2/3, n= 9 c) a= 2, n= 3 d) a= 3/2, n= 6
11) If ω is a cube root of unity than the value of
1 ω ω²
ω ω² 1
ω² 1 ω
a) 1 b) ω c) 0 d) ω²
12) How many terms are there in the expansion (4x + 7y)¹⁰ + (4x - 7y)¹⁰ ?
a) 6 b) 5 c) 11 d) 22
13) If A and B are two events such that P(AUB)= 5/6, P(A∩B)= 1/3, Then which one of the following is not correct?
a) A and B are independent
b) A and B' are independent
c) A' and B are independent
d) A and B are dependent
14) 1 0 2 & Adj A= 5 a -2
IfA=-1 1 -2 1 1 0
0 2 1 -2 -2 b
then the values of a and b are
a) a= -4, b= 1
b) a= -4, b= -1
c) a= 4, b= 1
d) a= 4, b= -1
15) The value of the infinite series (x - y)/x + (1/2) {(x - y)/x² + (1/3) {(x - y)/x³ + ......∞ is
a) logₑ(y/x)
b) logₑ(x/y)
c) 2logₑ(x/y)
d) (1/2) logₑ(y/x)
16) The coefficient of x² in the expansion of (2-3x)/(1+ x)³ is
a) 2 b) -2 c) 38 d) -38
17) If a= 1+2+4+.....to n terms, b= 1+3+9+....to n terms and c= 1+5+25+....to n terms, then the value of
a 2b 4c
2 2 2
2ⁿ 3ⁿ 5ⁿ is
a) (30)ⁿ b) (10)ⁿ c) 0 d) 2ⁿ + 3ⁿ + 5ⁿ
18) The value of 1²/1! + 2²/2! + 3²/3! + ......∞ is
a) 2e b) 2e+1 c) 2e -1 d) 2(e -1)
19) The value of the fourth term the in the expansion of 1/³√(1- 3x)² is
a) -40x³/3 b) 40x³/3 c) 20x³/3 d) -20x³/3
20) a coin and a 6 faced die, both unbiased , are chosen simultaneously, the probability of getting a head on the coin and an odd number on the die is
a) 1.2 b) 3/4 c) 1/4 d) 2/3
21) A number is chosen at random among the first 120 natural numbers. What is the probability that the number chosen being a multiple of 5 or 15 ?
a) 1/5 b) 1/8 c) 1/15 d) 1/6
22) If A= -1 0
0 2 then the value of A³ - A² is equal to
a) I b) A c) 2A d) 2I
23) If 1, ω, ω² are cube roots of unity then the value of m for which the matrix
1 ω m
ω m 1 is singular, is
m 1 ω
a) 1 b) -1 c) ω d) ω²
24) If A= -x - y
z t
Then the transpose of adj A is
a) t z b) t y c) t -z d) none
-y -x -z -x y -x
25) a dice is thrown, if it shows a six, we draw a ball from a bag containing 2 black balls and 6 white balls. If it does not show a 6 then we toss a coin . Then the number of event points in the sample space of this experiment is
a) 18 b) 14 c) 12 d) 10
26) The solutions of the equation
x 2 -1
2 5 x = 0 are
-1 2 x
a) -3,1 b) 3,-1 c) 3,1 d) -3,-1
27) The sum of rhe infinite series (1+ 3/2! + 7/3! + 15/4! +.....∞) is
a) e(e -1) b) e(e +1) c) e(1- e) d) 3e
28) If A is a square metrix of order 3x3 and A is a scalar, then adj(λA) is equal to
a) λ adj A B) λ² adj A c) λ³ adj A d) λ⁴ adj A
29) The equation of the parabola whose focus is (5,3) and directrix is 3x - 4y +1=0, is
a) (4x + 3y)² - 256x - 142y + 849= 0
b) (4x - 3y)² - 256x - 142y + 849= 0
c) (3x + 4y)² - 142x - 256y + 849= 0
d) (3x - 4y)² - 256x - 142y + 849= 0
30) the eccentricity of the conic 9x²+ 25y²= 225 is
a) 2/5 b) 4/5 c) 3/5 d) 3/4
31) the locus of the point P(x,y) satisfying the relation √{(x - 3)²+ (y -1)²} + √{(x + 3)²+ (y -1)²}= 6 is
a) a straight line b) a hyperbola c) a circle d) an ellipse
32) The locus of the midpoint of the line segment joining the focus to a moving point on the parabola y²= 4ax is another parabola with directrix
a) x= -a b) 2x= -a c) x= 0 d) 2x= a
33) If x₁, x₂, x₃, and y₁, y₂, y₃ are both GP with the same common ratio, then the points (x₁, y₁), (x₂, y₂) and (x₃, y₃) are
a) vertices of a Triangle
b) on a circle
c) collinear
d) on an ellipse
34) the eccentricity of the hyperbola 25x²- 9y²= 144 is
a) √34/4 b) √34/3 c) 6/√34 d) 9/√34
35) The curve represented by the equation 4x²+ 16y²- 24x - 32y - 12= 0 is
a) an ellipse with eccentricity 1/2
b) an ellipse with eccentricity √3/2
c) a hyperbola with eccentricity 2
d) a hyperbola with eccentricity 3/2
36) The equation of the parabola with vertex at the origin and directrix is y= 2, is
a) y²= -8x b) y²= 8x c) x²= 8y d) x²= -8y
37) If (0,6) and (0,3) are respectively the vertex and focus of a parabola, then its equation is
a) x²-12y = 72
b) y²-12x = 72
c) x²+12y = 72
d) y² + 12x = 72
38) The equation of the director circle of the hyperbola x²/16 - y²/4 = 1 is
a) x² + y² = 16 b) x² + y² = 4 c) x² + y² = 20 d) x² + y² = 12
39) An equilateral triangle is inscribed to the parabola y²= x whose one vertex is the vertex of the parabola. Then the length of a side of the triangle is
a) √3 units b) 8 units c) 2√3 units d) 1/2 units
40) Any point on the hyperbola (x+1)²/16 - (y-2)²/4 = 1 is of the form
a) (4 sec θ, 2 tanθ)
b) (4 sec θ +1, 2 tanθ-2)
c) (4 sec θ -1, 2 tanθ-2)
d) (4 sec θ -1, 2 tanθ+ 2)
1d 2c 3b 4a 5c 6d 7b 8a 9d 10b 11c 12a 13d 14c 15b 16d 17c 18a 19b 20c 21a 22c 23d 24c 25a 26b 27a 28b 29a 30b 31a 32c 33c 34b 35b 36d 37c 38d 39c 40d
Raw-1
a) 5 b) 3/5 c) 2/5 d) 1/5
2) If xₙ = cos(π/2ⁿ)+ i sin(π/2ⁿ), then the value of (x₁x₃x₅....∞)+ 1/(x₂x₄x₆....∞) is
A) 1 b) -1 c) 2 d) 0
3) If r> 1, n> 2 are positive integers and the coefficient of (r+2)th and 3rth terms in the expansion of (1+ x)²ⁿ are equal, then n is equal to
a) 3r b) 3r+1 c) 2r d) 2r+1
4) If a> 0 and discriminant of ax²+ 2bx + c= 0 is negative, then the value of
a b ax+ b
b c bx + c
ax +b bx+ c o
is
a) positive b) (ac - b²)(ax²+ bx + c) c) negative d) 0
5) A problem in mathematics is given to three students A, B and C and their respective probability of solving the problem is 1/2, 1/3, 1/4. Then the probability that the problem is solved, is
a) 3/4 b) 1/2 c) 2/3 d) 7/8
6) The probability that a leap year will have 53 Tuesday or Saturday is
a) 2/7 b)3/7 c) 4/7 d) 1/7
7) If y= x - x² + x³ - x⁴+....∞, then the value of x will be (-1< x < 1)
a) y+ 1/y b) y/(1+ y) c) y - 1/y d) y/(1- y)
8) The value of the determinants
1+ a 1 1
1 1+ b 1 is
1 1 1+ c
a) 1+ abc+ ab+ bc+ ca
b) abc(1 + 1/a + 1/b+ 1/c)
c) 4abc d) abc(1/a + 1/b+ 1/c)
9) If A= 2 -1
-1 2 and I is the unit matrix of order 2, then A² is equal to
a) 4A - 3I b) 3A - 4I c) A - I d) A + I
10) Let n≥ 5 and b≠ 0; if in the binomial distribution of (a - b)ⁿ, the sum of the fifth and the 6th term 0, then the value of a/b is
a) 5/(n -4) b) 1/5(n -4) c) (n -5)/6 d) (n -4)/5
11) P(A)= 2/3, P(B)= 1/2 and P(A U B)= 5/6, then the evens A and B are
a) mutually exclusive
b) independent as well as mutually exclusive
c) independent d) none
12) The roots of the equation in determinant
x 3 7
2 x -2 =0
7 8 x are
a) -2,-7,5 b) -2,-5,7 c) 2, 5,-7 d) 2, 5, 7
13) If f(x) =| sinx cosx Tanx
x³ x² x
2x 1 1
Then the value of lim ₓ→₀ f(x)/x² is
a) -3 b) 3 c) -1 d) 1
14) if n be an integer, then n(n +1)(2n +1) is
a) an odd number b) divisible by 6 c) a perfect square d) none
15) The sum of the infinite series 1/2! - 1/3! + 1/4! - .....∞ is
a) e b) e¹⁾² c) e⁻² d) none
16) The multiplicative inverse of matrix
2 1
7 4 is
a) 4 -1 b) 4 -1 c) 4 -7 d) -4 -1
-7 -2 -7 2 7 2 7 -2
17) The probability that atleast one of the events A and B occur is 3/5. If A and B occur simultaneous with probability 1/5, then the value of P(A')+ P(B') is
a) 2/5 b) 4/5 c) 6/5 d) 7/5
18) If 0< y < 2¹⁾³ and x(y³ -1)= 1, then the value of (2/x + 2/3x³+ 2/5x⁵ +....∞) is
a) logₑ{y³/(2- y³)}
b) logₑ{y³/(1 - y³)}
c) logₑ{2y³/(1 - y³)}
d) logₑ{y³/(1 - 2y³)}
19) For a. real number α, let A(α) denote the Matrix
cosα sinα
- sinα cosα.
then for real numbers α₁ and α₂, the value of A(α₁) A(α₂) is
a) A(α₁α₂) b) A(α₁ + α₂) c) A(α₁ - α₂) d) A(α₂ - α₁)
20) if the system of equation x + 2y + 3z = 1, 2x + ky + 5z = 1, 3x + 4y + 7z = 1 has no solution, then
a) k= -1 b) k= 1 c) k= 3 d) k= 2
21) The probability that the same number appears on throwing three die simultaneously is
a) 1/6 b) 1/36 c) 5/36 d) none
22) A is a square Matrix, such that A³= I; then inverse of A is equals to
a) A² b) A c) A³ d) none
23) 1 a a²- bc
If D= 1 b b²- ca
1 c c²- ab then D is
a) 0 b) independent of a c) independent of b d) independent of x
24) If |x|< 1/2, then the coefficient of xʳ in the expansion of (1+ 2x)/(1- 2x)² is
a) r. 2ʳ b) (2r -1)2ʳ r.2²ʳ⁺¹ d) (2r +1)2ʳ
25) The value of the infinite series (1+ 1/3.2² + 1/5.2⁴ + 1/7.2⁶ +.....∞) is
a) logₑ3 b) (1/2) logₑ3 c) 1- logₑ3 d) 2logₑ3
26) if the nth term of an infinite series is n(n +4)/n!, then the sum of infinite terms of the series is
a) 6e +1 b) 6e c) 5e d) 6e -1
27) in the expansion of (1+ x)ᵐ(1- x)ⁿ the coefficient of x and x² are 3 and (-6) respectively, then the value of n is
a) 7 b) 8 c) 9 d) 10
28) y x 0
If 0 y x= 0
x 0 y
and x≠ 0, then which one of the following is correct?
a) x is one of the cube root of 1
b) y is one of the cube root of 1
c) y/x is one of the cube root of 1
d) y/x is one of the cube root of (-1)
29) The locus of a point whose difference of distances is from points (3,0) and (- 3, 0) is 4, is
a) x²/4 - y²/5 = 1
b) x²/5 - y²/4 = 1
c) x²/2 - y²/3 = 1
d) x²/3 - y²/2 = 1
30) if the equation of latus rectum of a parabola is x + y -8=0 and the equation of the tangent at the vertex is x + y -12=0, then the length of the latus rectum is
a) 4√2 b) 2√2 c) 8 d) 8√2
31) If B and B' are the ends of minor axis and S and S' are the foci of the ellipse x²/25 + y²/9 = 1, then the area of the numbers SBS'B' formed will be
a) 12 square units
b) 48 square units
c) 24 square units
d) 36 square units
32) The lengths of the axis of the conic 9x²+ 4y²- 6x + 4y +1=0
a) 1/2,9 b) 1, 2/3 c) 2/3,1 d) 3,2
33) if the angle between the line joining the end points of minor axis of an ellipse with its which one focus is π/2, then the eccentricity of the ellipse is
a) 1/√2 b) 1/2 c) √3/2 d) 1/2√2
34) Which one of the the following is independent of in the hyperbola (0<α< π/2) x²/cos²α - y²/sin²α = 1?
a) eccentricity b) absicca of a focus c) directrix d) vertex
35) if the distance of a point on the ellipse x²/9 + y²/4= 1 from its Centre is 2, then the eccentric angle of the point is
a) π/4 b) π/2 c) 3π/4 d) π/3
36) The focus of the curve y²+ 4x - 6y + 13=0 is at
a) (2,3) b) (2,-3) c) (-2,3) d) (-2,-3)
37) The distance between the directrices of the hyperbola x= 8 secθ, y= 8 tanθ is
a) 8√2 b) 16√2 c) 4√2 d) 6√2
38) If a focal chord of the parabola y²= ax is 2x- y -8=0, then the equation of its directrix is
a) x - 4= 0 b) x + 4= 0 c) y - 4= 0 d) y + 4= 0
39) If a≠ 0 and the line 2bx + 3cy + 4d=0 passes through the points of intersection of the parabola y²= 4ax and x²= 4ay, then
a) d²+(2b - 3c)²= 0
b) d²+(3b + 2c)²= 0
c) d²+(2b + 3c)²= 0
d) d²+(3b - 2c)²= 0
40) The eccentricity of an ellipse with its centre at the origin, is 1/2, if one of the directrixes is x= 4, then the equation of the ellipse is
a) 4x²+ 3y²= 12
b) 3x²+ 4y²= 1
c) 4x²+ 3y²= 1
d) x²+ 4y²= 12
1b 2d 3c 4d 5a 6c 7d 8b 9a 10d 11c 12c 13d 14b 15d 16b 17c 18a 19b 20c 21b 22a 23a 24d 25a 26b 27c 28d 29a 30d 31c 32b 33a 34b 35b 36c 37a 38b 39c 40d
α θ
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