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8/12/2019 Karanataka CET 1987 Mathematics
1/9
KARNATAKA COMMON ENTRANCE TEST Question Paper
www.gyanshop.com
1987
1. The vertex of the parabola is the point1) (3, -1) 2) (3,4) 3) (-3, -1) 4) -3,
+1)
2. The length of latus rectum of the parabola is1) 2) 3) 4
4) 8
3. The distance between the foci of the ellipse is1) 2 2) 2 3) 4
4) 4
4. The major axis of an ellipse is three times the minor axis, then the eccentricity is1) 2) 3) 4)
5. The tangent to the hyperbola at the point (3, -2) is1) 2)
3) 4) none of these
6. + =
1) 2) 3) 4)
7. (1 + i) (1 + 2i) (1 - 3i) =
1)1 - 6i 2) 8 - 6i 3) 6 8i 4) 6 + 8i
8. if =
1) 2 2) 0 3) 32 4) none of these
9.
1) 1 + i 2) 1 3) 1 - i 4) -1
10. The G.C.D. of 364 and 462 is
1) 3 2)11 3) 14 4) 7
11. The congruence has the solution
1) x 2) x 3) x 4) none of
these
8/12/2019 Karanataka CET 1987 Mathematics
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8/12/2019 Karanataka CET 1987 Mathematics
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8/12/2019 Karanataka CET 1987 Mathematics
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KARNATAKA COMMON ENTRANCE TEST Question Paper
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1) (3,1) 2) (3, -1) 3) (-3, 1) 4)
(-3, -1)
33. In a triangle ABC if A = 300
, C= 1050
, b = 3 then a =
1) 2) 3 3) 2 4)
34. In a 450
, c= 2
1) 2) 6 3) 4)
35. If
1) 4 2) 9 3) 16 4) 25
36. The equation of the circle with centre (2, -3) and touching the y axis is
1) 2)
3) 4) none of these
37. The length of the tangent from (-1, 2) to the circle is
1) 24 2) 3) 6 4)
38. The radius of the circle
1) 2) 3)1 4) 4
39. if the circle
1) -2 2) 2 3) 1 4) -1
40. The eccentricity of the hyperbola
1) 2) 3) 4)
41. =
1) 1 2) 2 3) 3 4) 8
42. =
8/12/2019 Karanataka CET 1987 Mathematics
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KARNATAKA COMMON ENTRANCE TEST Question Paper
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1) 1 2) -2 3) 4) -1/2
43.
1) 2) 4 3) 4) 2
44.
1) 2/3 2) 3/2 3) 2 4)
45. If x =(
1) 2) 3) 4)
46.
1) -4/3 2) 4/3 3) 3/4 4) -3/4
47. If y = + , then =
1) 12 2) 12y/ 3) 4) none of these
48. If x = is
1) -3 2) 3 3) 4 4)
49. The slope of the normal to the curve
1) 2) - 3) 4) none of these
50.
1) 2) 3 3) 4)
51. =
1) 2) 3) 4)
none of these
52.
1) 2) 3) 4)
8/12/2019 Karanataka CET 1987 Mathematics
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KARNATAKA COMMON ENTRANCE TEST Question Paper
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53.
1) 1 2) 0 3) -1 4) none of
these
54.
1) 2) 3) 4)
55. If is the angle between the vectors +
1) 2) 3) 4) none of these
56. If + = + = x =
1) 0 2) 2 3)4 4) -4
57. , = =
1) 2) + 3) 4)
58. = + = = , = then
=
1) 15 2) 17 3) 0 4) none of
these
59. =
1) 0 2) 12 3)-12 4)16
60. The roots of the equation = o are
1) (0,1) 2) (0, 2) 3) (0, -1) 4) (0,-2)
61. =
1) 0 2) (
3) 3) none of these
8/12/2019 Karanataka CET 1987 Mathematics
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KARNATAKA COMMON ENTRANCE TEST Question Paper
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62. =
1) 2 2) 20 3) -2 3) -20
63. If A = B = , then 3A 2B =
1) 2)
3) 4) none of these
64. If A + 2B = , 2A B = , then B =
1) 2)
3) 4) none of these
65. The angle between the curves
1) 300
2) 600
3) 4) none of
these
66. The length of the sub tangent to the curve
1) -2 2) 3) -3 4) 4
67. The distance moved by a particle in time t is given by
s=
1) 42 2) -42 3) 48 4) -48
68.
1) 2)
3) 4) none of these
69.
1) 2) 3) 4)
70.
8/12/2019 Karanataka CET 1987 Mathematics
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KARNATAKA COMMON ENTRANCE TEST Question Paper
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1) 2) 3) 4)
71.
1) 3/2 2) 3 3) 2/3 4) 1/3
72. If y = =
1) 2) 3) 4) none of
these
73. If =
1) 2) 3)
4)
74. if y =
1) 2) 3) 4) none of these
75. sin
1) 2) 3) 4)
Answer Key
Q.No 1
2 3 4 5 6 7 8 9 10 11 12 13 14 15
Ans 4 1 3 1 2 2 3 2 4 3 3 2 4 4 2
Q.No 16
17 18 19 20 21 22 23 24 25 26 27 28 29 30
Ans 1 2 3 1 2 2 4 1 2 2 3 3 1 3 4
Q.No 31
32 33 34 35 36 37 38 39 40 41 42 43 44 45
Ans 1 2 2 4 2 3 4 1 1 4 3 2 1 4 4
8/12/2019 Karanataka CET 1987 Mathematics
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KARNATAKA COMMON ENTRANCE TEST Question Paper
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Q.No 46
47 48 49 50 51 52 53 54 55 56 57 58 59 60
Ans 1 2 2 4 1 2 4 1 1 3 3 2 2 1 3
Q.No 61
62 63 64 65 66 67 68 69 70 71 72 73 74 75
Ans 2 4 2 3 3 1 2 3 4 3 2 1 4 3 1