Question # 1

cos^-1(cos x) =

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x

cos x

x = 1/x

cos^-2 x

An equation containing at least one derivative of a depends variable with respect to independent variable is a (an)

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Implicit equation

Differential equation

General equation

None of these

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A complex number

A rational number

A natural number

An irrational number

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Domain of 3 sin x is ______

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[-3, 3]

R

Positive real numbers

None of these

Which of the following is factor of p(x) =2x3 +3x2+3x+2 ?

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x+1

2x+1

3x+1

2x-1

The set of integer is

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Finite group

A group w.r.t addition

A group w.r.t multiplication

Not a group

14 is not a

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Prime number

Whole number

Even number

Real number

If d₁is the distance between (0,0) and (1,2) and d₂is the distance between (0,0) and (-1,-2) the

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d₁< d₂

d₁> d₂

d₁= d₂

none of these

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Which one is not defined∀n∈Z+

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-n!

n!

(-n)!

n!+0!=n!+1

The 60th part of one minute is called

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Degree

Second

Radiam

None of these

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a²b²c²

4a²b²c²

4abc

None

The second degree equation of the form Ax2 +By2 +Gx +Fy +C =0 represent hyperbola if

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A = B≠ 0

A≠ B and both are of same sign

A≠ B both are of opposite sign

Either A = 0 or B =0

When rational fraction is separated into partial fractions, the result is

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an identity

A fraction

A partial sum

Improper fraction

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Two real roots

Two positive roots

Two negative roots

One positive and one negative root

If a_n= 2n -3, write the first four terms

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-3, -1, 1, 3

1, 3, 5, 7

-1, 1, 3, 5

None of these

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Set of whole number

Rational Numbers

Complex numbers

Whole numbers

If p and q are two statements then their biconditional 'p if q' is denoted by

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The set of the first elements of the ordered pairs forming a relation is called its

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Function on B

Range

Domain

A into B

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One-to-one and onto

One-to-one but not on to

Onto but not one-to-one

Neither one-to-one nor onto

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For each even natural number n (n²-1) is divisible by

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6

3

4

8

Two positive integers whose sum is 30 and their product will be maximum are

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12,18

10,20

15,15

14,16

x = secθ,y = tanθ are the parametric equations of

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Circle

Hyperbola

Ellipse

parabola

If the sum of co-efficient in the expansion of (a+b)ⁿis 4096, then the greatest co-efficient in the expansion is

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1594

792

924

2924

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I quadrant

II quadrant

III quadrant

IV quadrant

The set of whole numbers is subset of

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The set on integers

The set of natural numbers

{1, 3, 5, 7, ....}

The set of prime numbers

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