Question # 1

The surface generated by lines, consists of two parts, called:

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vertex

apex

nappes

axis

The angle of elevation of the tops of two towers at the middle point of the line joining the foots of the tower are 60^οand 30^οrespectively. The the ratio of the heghts of the tower is

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2 : 1

3 : 1

1 : 2

1 : 3

If f(x) = tan x then f(0) is

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0

1

1/2

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Principle of equality of fractions

Rule for product of fractions

Golden rule for fractions

Rule for quotient of fractions

If s = 2t³- 3t²+ 15t - 8 is the equation of motion of a particle, then its initial velocity is

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8

15

-6

None

(1+w)(1+w2)(1+w4)(1+w8)....50 factors

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0

-1

1

2

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none of these

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If the angle between two vectors with magnitude 6 and 2 is 60° when their scalar product is

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12

6

3

0

If x³- x²+ 5x+ 4 is divided by x - 2, then the reminder is

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0

2

18

14

A point where two of its boundary lines intersect is called

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Corner point

Feasible point

Vertex

Feasible solution

The period of 2 cos x is

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30π

7π

5π

2π

∀a,b, c ε R ac = bc ⇒ a = b, c ≠ 0 is a

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Symmetric property

Cancellation property w.r.t multiplication

Reflexive property

Transitive property

For any integer k, wⁿ= ______ when n = 3k

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1

2

0

-4

∫sin(ax+b) dx is equal to:

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1/2a cos (ax + b)

-1/a cos (ax +b)

1/a cos (ax +b)

1/a ln (ax + b)

A committee consists of 9 experts taken from three institutions A, B, and C, of which 2 are from, A, 3 form B and 4 from C. If three experts resign, then the probability that they belong to different institutions is

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1 / 729

1 / 24

1 / 21

2 / 7

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A

B

A'B'

B'A

A point of a solution region where two of its boundary lines intersect, is called

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Boundary

Inequality

Half plane

Vertex

The fixed point from which all the points of a circle are equidistant is called the

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chord of the circle

centre of the circle

diameter of the circle

radius of the circle

Both the roots of the equation (x - b) (x - c) + (x - c)(x - a) + (x - a)(x - b) = 0 are always

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Positive

Negative

Real

None of these

If a (p + q)²+ bpq +c = 0 and a (p + r)²+ 2 bpr + c = 0, then qr equals

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p²+ c/a

p²+ a/c

p²+ c/a

p²- c/a

If A and B are two sets then any subset R of A x B is called

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relation on A

relation on B

relation from A to B

relation from B to A

Multiplicative inverse of "1" is

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+- 1

0

1

None of these

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1

2

3

4

If f(x) = x²-x then f(1) is

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0

1

2

3

Every identity matrix is

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Row-vector

Scalar

Column-vector

All

∀ z ∈ C, multipliucative is

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(1,1)

(1,0)

(0,1)

None of these

The mid point of the line segment joining the points (4,0) and (0,4) is

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(4,4)

(2,2)

(-4,-4)

(-2,-2)

The set of all positive even integers is

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Not a group

A group w.r.t subtraction

A group w.r.t division

A group w.r.t multiplication

w²⁸+ w³⁸= ______

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0

1

w

-1

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a tan(ax + b) + c

- a tan(ax + b) + c

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A kite flying at a height of 67.2 m is attached to a fully stretched string inclined at an angle of 53 to the horizontal, the length of the string

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62m

82m

73m

57m

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