Question # 1

The roots of px2 - (p-q)x-q=0 are

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equal

Irrational

Rational

Imaginary

If the line 2x -y +k =0 is a diameter of the circle x2 +y2 +6x -6y +5 =0 then k is equal to

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12

9

6

3

If x²- 7x + a has remainder 1 when divided by x + 1, then a = ______

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-7

7

0

None of these

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The roots of the equations will be equal if b²- 4ac is

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Positive

Negative

1

Zero

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¹⁰C₆

¹⁰C₅

¹⁰C₄

None

Three points whose position vector a,b,c are collinear

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axb +b x c+ c x a = 0

a,b +b,c +c,a =0

a,|a xc| =0

a+b+c =0

In one hour, the hour hand of a clock turns through

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If 0 = R, thenthe additive inverse of a is

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1/9

^1/-9

a

-a

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are real no

both are not real

are imaginary no

both are imaginary

∫Sec² (ax + b) dx is equal to:

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tan² (ax + b)

1/a tan² (ax + b)

1/atan (ax +b)

tan (ax + b)

The next term of the sequence 1, 2, 4, 7, 11, ..... is.

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15

16

17

18

i³ =

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-1

i

-i

1

If C={p/p < 18, p is a prime number}, then C =

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{2,3,4,.........17}

{2,4,6,8................16}

{1,3,5,7,9,11,13,15,17}

{3,6,9,12,15}

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Additive property of inequality

Commutative property

Additive inverse

Additive identity

The function discontinuous at x = 0 is (1) tan x (II) cot x (III) sec x (iv)cosec x)

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I & III

I & IV

II & IV

II & III

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If a, b, c are in A.P., then 3^a, 3^b, 3^care in

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A.P.

G.P.

H.P.

None of these

If the function y=2x -3, what is the preimage of 11?

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11

7

5

2

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sin2 π/6 + sin2 π/3 + tan2 π/4 =______;

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1

2

3

4

The mid point of the line segment joining the points A(-8,3) and B(2,-1) is

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(-3,1)

(-6,2)

(5,2)

(-5,2)

If (a, b) is the mid-point of a chord passing thro' the vertex of the parabola y²= 4x, then

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a = 2b

2a = b

a²= 2b

2a = b²

How many terms of the A.P 3,6,9,12,15...........must be taken to make the sum 108

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8

6

7

36

The value of x and y when (x + iy)2 = 5 - 4i

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x = 2, y = -1

x = -2, y = 1

x = 2, y = -i

x = 2, y = 2

The points (5, 2, 4)(6, -1, 2) and (8, -7, k) are collinear if k is equal to

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-2

2

3

-1

If the exponent in the binomial expansion is 6, then the middle term is

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2nd

3rd

4th

5th

A square matrix A = [aij] is lower triangular matrix when:

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aij = 0 for all i < j

bij = 0

cij = 0

dij =0

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(3, 1, -2)

(3, -2, 1)

(2, -1, 3)

(-1, -2, -3)

If a plane passes through the vertex of a cone then the intersection is

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an ellipse

a hyperbola

a point circle

a parabola

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