Question # 1

If tan Θ > 0 and sin Θ < 0 then terminal arm of the angle lies in quadrant:

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I

II

III

IV

The ordered pairs (4, 5) and (5, 4) are:

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same

different

both a and b

N

If a statement P(n) is true for n = 1 and truth of P(n) for n = k implies the truth of P(n) for n = k + 1, then P(n) is true for all:

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integers n

real numbers n

positive real numbers n

positive integers n

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2x

x²

1

none of these

The factorial of positive integer is:

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rational no.

positive integer

real no.

none

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1

0

2

3

In binomial expansion of (a+b)n, n is positive integer the sum of even coefficients equals:

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none of these

For what value of k, the roots of the equation x² + √k x + 2 = 0 are equal:

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1

8

2

4

y = tan-1 x if and only if x = tan y, where:

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-1 < x < 1 and - π < y < π

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Reflexive property

Symmetricproperty

Transitiveproperty

Trichotomyproperty

If A is a square matrix, then:

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|A^t| = A

|A^t| = -A

|A^t| = |A|

A^t= A

cos^-1 (-x) =

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π + cos^-1 x

π - cos^-1x

π + sin^-1x

π - sin^-1x

If each element in any row or each element in any column of a square matrix is zero, then value of the determinant is:

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0

1

-1

none of these

7th term of G.P 3, 6, 12 ..... is:

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512

192

48

96

Conjugate of complex number (-a, -b) is:

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(-a, b)

(-a, -b)

(a, -b)

none of these

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tan x

cot x

1 radian is equal to:

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180°

none of these

To convert any angle in degrees into radians, we multiply the measure by:

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No. of selection of n different things out of n is:

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1

n

n!

none

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