Question # 1

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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cos x

- sin x

- cos x

tan x

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Principle of equality of Fractions

Rule for product of fraction

Golden rule of fraction

Rule of quotient of Fraction

The behavior of trigonometric function is called

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Continuity

Discontinuity

Periodicity

Smoothness

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x-axis

y-axis

z-axis

None of these

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0.9

0.74

0.2016

None of these

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π/ 4

π/ 6

π/ 3

2π/ 3

If A and B are two matrices such that AB = B and BA = A then A2 + B2 =

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2 AB

2 BA

A + B

AB

f(x) = 2^x+ 3 . 2^2x+ 5 is

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trigonometric function

algebraic function

exponential function

logarithmic function

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If x²- 7x + a has remainder 1 when divided by x + 1, then a = ______

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-7

7

0

None of these

The set {Z\{0}} is group w.r.t

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Addition

Multiplication

Division

Subtraction

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7

5

6

None of these

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(a-1)-1 =

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a-1

a

-a

None of above

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Each point of the feasible region is called

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Solution

feasible solution

Both a & b

None

In R the number of identity element w.r.t '+' is

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One

Two

Three

Four

The 60th part of one minute is called

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Degree

Second

Radiam

None of these

A coin is tossed. If head comes up, a die is thrown but if tail comes up, the coin is tossed again. The probability of obtaining a head and an even number is

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1/8

2/8

3/8

None of these

The range of function f(x)=-x2+2x-1 is

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R

(-∞,0]

(-∞,1]

[0,∞)

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A parabola

An ellipse

A hyperbola

A circle

The physical quantity which possesses both magnitude and direction is called a

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scalar

vector

constant

none of these

The sum of infinite numbers of terms of an arithmetic series is

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Finite

Infinite

May or may not finite

None of these

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The set Q

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Forms a group under addition

Does not form a group

Contains no additive indentity

Contains no additive inverse

i² =

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1

2

-1

0

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If B⊆ A, then complement of B in A is = -----------------------

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A-B

A∩B

B-A

A∪B

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