Question # 1

A function which is to be maximized or minimized is called an

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Explicit function

Implicit function

Objective function

None

Which of the following is the subset of all sets?

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For a square matrix A, if A = At, then A is called

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Matrix

Transpose

Symmetric

Non-symmetric

The sum of first 60 natural numbers is

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1830

3660

1640

1770

Vector i =

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[1,0]

[0,1,0]

[0,0,1]

None of these

The angles with some initial and terminal sides are called

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Quadrantal angles

Coterminal angles

Allied angles

None

The nth term of an A.P is (3n+5) Its 75th term is

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26

7

21

Cannot be determined

Period of Tangent function is

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0°

-π

π

2π

For which of the following ordered pairs (s, t) is s + t > 2 and s - t < -3?

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(3, 2)

(2, 3)

(1, 8)

(0, 3)

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15

9

7

8

The radian measure of the central angle of an arc 50 m long on a circle of radius 25 m is

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3

2

1

Trival solution of homogeneous linear equation is

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(0, 0, 0)

(1, 2, 3)

(1, 3, 5)

a, b and c

A box contains 10 red 30 white and 20 black marbles When a marble is drawn at random the probability that it is either red or white is

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1/6

1/3

1/2

2/3

The points A(+1,-1),B(3,0),C(3,7),D(1,8) are vertices of

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Square

Parallelogram

Rectangle

Trapezium

The√ is used for the

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Positive square root

Negative square root

+ve and -ve square root

Whole number

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a constant function

linear function

quadratic funtion

none of these

The multiplicative inverse of x such that x = 0 is

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-x

does not exist

1/x

0

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(1, 3)

(-1, -3)

(1, -3)

(-1, 3)

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

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an identity

A fraction

A partial sum

Improper fraction

sin (α+β) + sin (α-β)

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2 sinαcosβ

sin (2αβ)

sinαcosα

None of these

The period of tan x/7 is

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3π

7π

15π

5π

If a > 0,b > 0, c > 0 then the roots of the equation ax2+ bx + c =0 are

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Real and negative

Non-real with negative real parts

Real and positive

Nothing can be said

The graph of y < 2 is the

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Left half plane

upper half plane

Right half plane

Lower half plane

The distance of the point (a, b) from x-axis is

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a

b

a + b

The slope of the normal at the point (at², 2at) of the parabola y²= 4ax is

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1/t

t

-t

-1/t

IfΔABC is right, law of cosine reduce to

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Law of sine

Law of tangent

Phthogorous theorem

Hero's formula

θ and 2kπ+θ are the ________ angles

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Quadrantal angles

Coterminal

Allied

None

The value of x, and y, when (x + iy)²= 5 + 4i

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X = 2, y = 1

X = -2, y = 1

X = 2, y = -1

X = 2, y = 2

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Linear equation

Quadratic equation

Cubic equation

None of these

The 7th term of the A.P 7,11,15,is

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24

31

26

23

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