Question # 1

√2 is a number

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Rational

Irrational

Even

Odd

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5

-5

none

For any set B, BUB' is

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Is set B

Set B'

Universal set

None of these

The center of the sphore which passes thro' (a, 0, 0), (0, b, 0), (0, 0, c) and (0, 0, 0) is

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If f(x) = x²then f(-2) is

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-2

2

4

-4

If S_rdenotes the sum of the first r terms of a G.P., then S_n, S_2n- S_n, S_3n- S_2nare in

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A.P.

G.P.

H.P.

None of these

The transport of a square matrix is a

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Row matrix

Column matrix

Square matrix

Null matrix

Roots of the equation x²- x = 2 are

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{2, -1}

{1, 0}

{2, 1}

{-2, 1}

Every whole number is

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A real number

An irrational number

A prime number

A negative integer

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

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1

2

3

4

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Range of y = sec x is

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-1≤ y≤ 1

y≥ 1 or y≤ -1

y≤ 1or y≥ -1

-∞ < y < +∞

Maximum value of z =15x +20y subject to 3x+ 4y≤ 12,x,y≥ 0 is given by

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46

60

50

70

sin5θ+sin3θ = _______;

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2sin 4θ cosθ

2cos 4θ sinθ

2cos 4θ cosθ

-2sin 4θ sinθ

Any recurring decimal represents a

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Irrational no

Integer

Rational no

None of these

Which of the following is not a unit vector

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[1, 1, 1]

[0, 1, 0]

[0, 0, 1]

[1, 0, 0]

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2x - 3x + c

x²- 3x + c

For a square matrix A, if A = A^t, then A is called

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matrix

Transpose

Symmetric

Non-symmetric

The value of the expression 3 cosθ+ 4 sinθθlie between

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-7 and 7

-25 and 25

-1 and 1

-5 and 5

The middle term of [1/x-x]¹⁰is

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-152

-252

371

-421

If (0, 0) and (-1, 0) are end points of a diameter, then the equation of the circle is

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The set { {a,b} } is

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Infinite set

Singleton set

Two points set

Empty set

If x,y are two -ve distinct numbers then

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A>G>H

A<G<H

A=G=H

None of these

If f(x) = x²-x then f(1) is

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0

1

2

3

If sin 6θ+ sin 4θ+ sin 2θ, thenθ=

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If cos 20°=K and cos x=2 k²-1, then the possible values of x between 0° and 360° are

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140°

50° and 140°

50° and 130°

40° and 320°

For all positive integral value of n,3ⁿ< n! , when

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n> 6

n< 6

n<11

n>11

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