Question # 1

If sets A and B are equal then:

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3:5:2

3:2:1

1:2:3

-2 sin α sin ß =

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sin (α + ß) + sin (α - ß)

cos (α + ß) + cos (α - ß)

cos (α + ß) - cos (α - ß)

cos (α - ß) + cos (α - ß)

If f(x) = arccos x, then:

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linear equation

Quadraticequation

cubicequation

radicalequation

{2, 4, 6, 8, ...........} represents the set of:

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positive odd numbers

natural numbers

prime numbers

positive even numbers

If cosec Θ > 0 and cot Θ < 0, then terminal arm of the angle lies in:

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I

II

III

IV

No. of arrangements of the letters of the word plane taking all letters at a time:

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5

1

none

An infinite sequence has no:

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nth term

last term

sum

none

If each element of a 3 × 3 matrix A is multiplied by 3, then the determinant of the resulting matrix is:

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|A|³

27|A|

3|A|

9|A|

cos^-1 (-x) =

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π + cos^-1 x

π - cos^-1x

π + sin^-1x

π - sin^-1x

If two rows (or two columns) in a square matrix are identical (i.e. corresponding elements are equal), the value of the determinant is:

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0

1

-1

±1

If sin α < 0 and cos α > 0, then α lies in:

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I

II

III

IV

The factorial of positive integer is:

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rational no.

positive integer

real no.

none

The period of cos 2x is:

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If x is positive or zero, then the principal value of any inverse function of x, if it exists lies in the interval:

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The value of ⁵C₂ is:

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1

10

20

30

If a matrix A is symmetric as well as skew symmetric, then:

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A is null matrix

A is unit matrix

A is triangular matrix

A is diagonal matrix

Sum of roots of ax² + bx + c = 0 is equal to product of roots only if:

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a+c=0

b+c=0

a+b=0

a+b+c=0

Number of terms in the expansion of (x+y)⁶ is:

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7

6

2

8

If P(x) is a polynomial of degree m and Q(x) is a polynomial of degree n, the product P(x) . Q(x) will be a polynomial of degree:

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m . n

m - n

m + n

m × n

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