Question # 1

Derivative of a w.r.t x is

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0

1

x

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Which of the following sets is finite

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The set of natural numbers between 3 and 10

The set of rational numbers between 3 and 10

The set of real numbers between 0 and 1

The set of rational numbers between 0 and 1

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2s²

2s³

s³

3s³

If sinθand cosθare the roots of the equation ax²- bx + c = 0, then a, b, c satisfy the relation

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b²- a²= 2ac

A²- b²= 2ac

A²+ b²= c²

B²+ a²= 2ac

What is the period of 5 cot x=?

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π

-π

π/2

2π

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Such fraction which can not be written in the form ofp⁄q where p,q and q≠ 0,such fractions are called.

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Fractinal numbers

Rational Numbers

Even Numbers

Whole Numbers

If k2x2 +2hxy- 4y2 =0 represents two perpendicular lines then

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k = 2

k = ±2

k = -2

k ≠0

The sum of n terms of a series is denoted by

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d

n

S_n

a_n

The distance s of a particle in time t is given by s = t³- 6t²- 4t - 8. Its acceleration vanishes at t =

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1

2

3

4

If origin is the mid point of (a,3) and (5,b) then

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a = -5 , b = -3

a = 5 , b =3

a = -5 , b = 3

a = 5 , b = -3

A relation in which the equality is true only for some values of the known is called ______

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An identity

An equation

A polynomial

None of these

cos 3a =_______;

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3sin a - 4sin3 a

4sin a - 3sin3 a

3cos3 a - 4cos a

4cos3a - 3cos a

The intercepts of the plane 2x - 3y + 4z = 12 on the co-ordinate axes are given by

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2, -3, 4

6, -4, -3

6, -4, 3

3, -2, 1.5

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1

7

4

None of these

For all points (x,y) on y-axis

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x is positive

x = 0

x is negative

y = 0

A combination lock on a suitcase has 3 wheels each labeled with nine digits from 1 to 9. If an opening combination is a particular sequence of three digits with no repeats, the probability of a person guessing the right combination is

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1 / 500

1 / 504

1 / 252

1 / 250

0 (zero) is

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An irrational number

A rational number

A negative integer

A positive number

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Range of 3 sin x is ______

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[ -3, 3]

[-1, 1]

R

None of these

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

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sin 2x + c

-sin 2x + c

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1.5

1.2

8

None of these

If A∩B=B, then n(A∩B) is equal to

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n(a)

n(a)+n(c)

n(c)

None of these

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From an empty set

1

2

>2

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Associative law of multiplication

Commutative law of addition

Commutative law of multiplication

Associative law of addition

The solution set of the equation 4 cos²x - 3 + 0 is

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none of these

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