Question # 1

Let A,B, and C be any sets such that A∪B = A∪C and A∩B = A∩C then

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A≠ C

B = C

A = B

A≠ B

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The general solution of tan 3x = 1 is

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none of these

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cosec x + c

-cosec x + c

-sec x + c

sec x + c

Write down the power set of {9, 11}

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n < 8/5

n < 5/8

|n| < 8/5

|n|>8/5

The graph of y> 0 is the upper - half of:

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y-axis

x-axis

1st and 4th quandrant

2nd and 3rd quadrant

If A = [aij]mxpand B =[aij]pxnthen order of BA is

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m x n

p x n

n x m

None of these

Rational number is a number which can be written as a terminating decimal fraction or a

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Non-terminating decimal fraction

Non-recurring

Recurring decimal fraction

a, b and c

graph of trigonometric function y = sec x does not meet

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x - axis

y -axis

both axis

None of these

A and B throw a dice. The probability that A's throw is not greater then B's is

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5 / 12

7 / 12

1 / 6

1 / 2

Which of the following is a scalar

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weight

force

speed

momentum

An integral of 1/x dx is:

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1/x²

1/-x²

1/lnx

lnx

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Sin^-1(-x)=

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Cos^-11/x

- Sin^-1X

Cot^-1X

None of these

The third term of a G.P. is 4, The product of first five terms is

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43

45

46

None of these

A Geometric Series is divergent only if

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|r|>1

|r|≥1

|r|=1

None of these

Sum of first n terms of an arithmetic series is

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The sum of co-efficient in (1+x-3x²)⁴¹⁶³is

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0

1

-1

None

An infinite arithmetic series is always

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Convergent

Oscillatory

Divergent

None of these

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1, 1/2, 0

1, 2, 1

1, 2, 3

1, 2, 0

If a, b, c are in AP., a, b, c are in G.P. then A, m²b, c are in

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A.P.

G.P.

H.P.

None of these

Period of tan x is ______

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The lotus of intersection of perpendicular tangents to the parabola y² = 4ax is:

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Axis of the parabola

Focal chord of the parabos

The tangent at vertex of the parabola

a directrix of the parabola

The angles of elevation of the top of a tower at the top and the foot of a pole of height 10 m are 30° and 60° respectively. The height of the tower is

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10 m

15 m

20 m

None of these

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A function from A to B is denoted by

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f: A→ B

f: B → A

f: → A :B

f → A→ B

The set (Z, +) forms a group

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Forms a group w.r.t addition

Forms a group w.r.t multiplication

Non commutative group w.r.t multiplication

Doesn't form a group

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30°

45°

60°

90°

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