Question # 1

Derivative of sin x w.r.t. sin x is

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0

1

sin x

cos x

Consider the equation px2 + qx + r = 0 where p,q,r are real The roots are equal in magnitude but opposite in sign when

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q = 0, r = 0,p ≠ 0

p = 0,qr≠ 0

r = 0,pq≠ 0

q = 0, pq≠ 0

In R, the additive inverse of a is

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0

1

-a

1/a

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π / 3

π / 4

π / 6

0

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The three consecutive numbers a,√ab,b are in

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G.P

H.P

G.M

None of these

The conic ax2+2hxy+by2+2gx+2fy+c= 0 never represent a circle if

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a≠ b,h≠0

a=b

h≠0

h=0

{0} is a

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Empty set

Singleton set

Zero set

Null Set

{1, 2, 3, 4,.....} is set of ______

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Natural numbers

Whole numbers

Integers

Rational numbers

The first three terms in the expansion of (1 - x)^-2are

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1 - 2x + 3x²

1 - 2x - 3x²

1 + 2x + 3x²

-2 - 2x +3x²

The probability that a person A will be alive 15 years hence is 5/7 and the probability that another person B will be alive 15 years hence is 7/9. Find the probability that both will be alive 15 years hence

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4/63

5/9

45/49

None of these

A die is rolled. What is the probability that the dots on the top are greater than 4?

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1/4

1/2

1/3

1/33

The general term of a sequence is denoted by

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a₁

a_n

n

s_n

A farmer possesses 100 hectometers of land and wants to grow corn and wheat. Cultivations of corn requires 3 hours per hectometer while cultivation of wheat requires 2 hours per hectometer. Working hours cannot exceed 240. If he gets a profit of Rs. 20 per hectometer for corn and Rs. 15 per hectometer for wheat. The profit function for the farmer is

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P(x, y) = 20x + 15y

P(x, y) = 2x + 3y

P(x, y) = x + y

P(x, y) = 3x + 2y

cos(a-β) = ______;

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sin a cosβ + cos a sinβ

sin a cos β - cos a sinβ

cos a cos β + sin a sinβ

cos a cosβ - sin a sinβ

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The function discontinuous at x = 0 is (1) tan x (II) cot x (III) sec x (iv)cosec x)

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I & III

I & IV

II & IV

II & III

(x + 2)²= x²+ 4x + 4 is

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A linear equation

A cubic equation

A quadratic equation

None

(fog)′(x) =f′(g(x))g′(x) is derivative by

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Chain rule

Reciprocal rule

Power rule

Product rule

The transport of a rectangular matrix is a

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Square matrix

Rectangular matrix

Row matrix

Column matrix

3x + 4 > 0 is

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equation

inequality

identity

none of these

Matrices A = [aij] 2 x 3 and B = [bij] 3 x 2 are suitable for

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BA

A2

AB

B2

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The domain and range of a trigonometric function can be allocate by their

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graph

Continuity

Discontinuity

Periods

Sum of all the four forth roots of unity is

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1

-1

i

0

The zero vector is

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[0, 0, 0]

[1, 1, 1]

[0, 1, 0]

[0, 0, 1]

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sec 5x + c

- sec 5x + c

Every recurring decimal represents

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A natural number

A rational number

An irrational number

A whole number

A square matrix all of whose elements except the main diagonal are zeros is called a

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Null matrix

Singular matrix

Symmetric matrix

Diagonal matrix

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0

1

-1

2

A function whose domain is a subset of natural numbers is called ______

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Identity function

Sequence

Onto function

Series

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