Question # 1

If y is an image of x under the function f, then we write

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y = f(x)

x = f(y)

y = x

none of these

The area between the x-axis the curve y =4x-x2 is :

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32/2

15

18

21

Period of sin 3x is ______

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1

3

2-i

-1

Latus rectum = 4 x ______________

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focal distance of the vertex

Chord

Focus

1/2

The curve f(x,y) = 0 has a central symmetry if

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f(-x,-y)=f(x,y)

f(x,-y)=f(x,y)

f(-x,y)=f(x,y)

f(-x,-y)≠f(x,y)

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A rational number

A natural number

An irrational number

An integer

What is the period of tan 4/3 x =?

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π/4

4π/3

7π/4

3π/4

An even function is symmetric about the line

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y = x

x = 0

y = -x

y = 0

Sec^-1x =

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Cos^-11/x

cosec^-11/x

Cos^-1(-x)

Tan^-1x

Any recurring decimal represents a

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Irrational no

Integer

Rational no

None of these

π is ______

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A complex number

A rational number

A natural number

An irrational number

The period of cot 8x is

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π/10

9π/7

π/9

π/8

Range of 3 sin x is ______

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[ -3, 3]

[-1, 1]

R

None of these

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0

-1

1

2

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none of these

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none of these

The transpose of a row matrix is a ______

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Zero matrix

Diagonal matrix

Column matrix

Row matrix

If in a set of real no a is additive identity then

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a+a = 2a

a+a = 1

a+a = 0

None of these

The matrix A is Hermitian when (A)' =

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A

-A

A

A'

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Z is a group under

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Subtraction

Multiplication

Addition

None of these

Both the roots of the equation (x - b) (x - c) + (x - c)(x - a) + (x - a)(x - b) = 0 are always

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Positive

Negative

Real

None of these

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If for the matrix A, A⁵= I, then A^-1=

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A²

A³

A

None of above

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f(x) = 1 is

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identity function

constant function

linear function

quadratic function

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None of these

If distance of (a,b) from y-axis is 2 then

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a = 2

b = 2

a = b

a = 4

Derivative of x³w.r.t x is

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0

1

3x²

x³

The null vector is regarded to be perpendicular to

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Every vector

In some cases

Both a b

None

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