Question # 1

The coefficient of x¹⁸ in (ax⁴-bx)⁹ after expansion is

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84a³ b⁶

22a³b⁶

27a⁴b⁵

28a³b⁶

Range of sinθis

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The nth term of a G.P. is

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a₁rⁿ

a₁rⁿ⁺¹

a₁r^n-1

a₁r^-n

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2x

2

Arithmetic mean between x - 3 and x + 5 is

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x + 1

x + 2

x + 3

x + 4

The system of measurement in which the angle is measured in radians is called the

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circular system

CGS system

sexagesimal system

none of these

An A.P. consists of n(odd terms) and its middle term is m. then the sum of the A.P. is

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2 mn

1/2 mn

mn

mn²

Which of the following is a factor of x³- 3x²+ 2x - 6

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x + 2

x + 3

x - 3

x - 4

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0

-1

1

2

If A = |aij| is (m x n) matrix then transpose of A is of the order

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m x m

m x n

n x n

n x m

1/3 is ______

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A prime number

An integer

A rational number

An irrational number

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7

5

6

None of these

There are ______ basic techniques for solving a quadratic equation

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Two

Three

Four

None of these

Archimedes approximate the function by horizontal function and the area under f by the sum of small

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Parallelograms

Squares

Retangles

Polygons

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w^-12= ______

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0

1

w

w²

If f (x)=a0 +a1x+a2x2+a3x3-----+0n-1xn-1+anxn then f(n) (x) is equal to

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n!

ann!

0

an

the latus rectum of the parabola x³= -4ay is:

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x = a

y = -a

x = -a

y = 0

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-1

0

1

None of these

Range of cosec x is ______

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{-1, 1}

R

Negative real numbers

R - { x | - 1 < x < 1}

n² - 1 divisible by 8 when n is

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an odd integer

an even integer

Irrational

Prime Number

What is the circular measure of the angles between the hands of which at 4 o clock

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π/6

3π/2

π/4

2π/3

If a and b are real numbers then a+b is also real number this law is called

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associative law of addition

closure law of addition

Distributive law of addition

Commutative law of addition

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2 x 2

2 x 3

3 x 2

3 x 3

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The period of sin x/2 = Cos x/3 is

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2p

12p

13p

7p

If E = { } , then P(E)

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∅

{ }

{(2),(4),(6)....}

(∅)

Domain of cotθis

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For an arithmetic series to be convergent it is necessary that the series has

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Finite terms

d<0

Infinite terms

None of these

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