Question # 1

The additive inverse of a matrix A is:

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A

A^-1

- A

A²

1 radian is equal to:

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180°

none of these

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i

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

π is defined as:

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ration of diameter of a circle to its circumference

ration of the circumference of a circle to its diameter

ration of area of a circle to its circumference

ration of the circumference of a circle to its area

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The middle term in the expansion of (1+x)^1/2 is:

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T₂

T₃

does not exist

none of these

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Sum of all three cube roots of unity is:

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1

-1

0

3

A sequence of numbers whose reciprocal form an arithmetic sequence, is known as:

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arithmetic sequence

geometricsequence

harmonicsequence

none of these

The next term of the sequence-1, 2, 12, 40, .........is:

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112

212

144

none

If AB = BA = I, then A and B are:

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equal to each other

multiplicative inverse of each other

additive inverse of each other

both singular

Number of terms in the expansion of (a+b)ⁿ is:

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n

n+1

n-1

none of these

The period of 2 - sin 3x is:

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Period of a trigonometric function is:

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any real number

any negative real number

any integer

a least positive number

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3×2

2×3

2×2

3×3

If a_n = (n + 1) a_n-1, a₁ = 1, second term of the sequence is:

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3

1

2

4

The circum-radius R of a triangle is given by:

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If α, ß are complex cube roots of unity, then 1 + αⁿ + ßⁿ = .......... where n is a positive integer divisible by 3:

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1

3

2

4

The factorial of positive integer is:

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rational no.

positive integer

real no.

none

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