Question # 1

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Total number of subsets that can be formed out of the set {a,b,c} is

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1

4

8

12

Out of 10, 000 families with 4 children each, the number of families all of whose children are daughters is

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375

500

625

150

A rule that assigns to each elements x in X a unique element y in Y is called a ____________

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domain

range

function

none of these

Which of the following sets in infinite

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The set of students of your class

The set of all schools in Pakistan

The set of natural numbers between 3 and 10

The set of rational numbers between 3 and 10

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cosec x + c

-cosec x + c

-sec x + c

sec x + c

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

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0

1

sin x

cos x

The roots of px2 - (p-q)x-q=0 are

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equal

Irrational

Rational

Imaginary

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0

1

-A

-1

The general value ofθsatisfying the equation 2 sin²θ- 3 sinθ-2 = 0 is

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Range of sin x is ______

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[-1, 1]

R

Negative real numbers

None of these

If |a x b|2 + (a,b)2 = _____

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|a|2 + |b|2

|a|2- |b|2

|a|2|b|2

None

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Which of the following integrals can be evaluated

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The square matrix A is skew-symmetric when At=

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-B

-C

-A

-D

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R

2R

r

2r

Equation of normal to the circle x2 + y2 =25 at (5cosθ,5sinθ)

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xcosθ+ysinθ =5

xcosθ -ysinθ =0

xsinθ -ycosθ =0

None of these

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none of these

The sum of coefficients in the binomial expansion equals to

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2

2ⁿ⁺¹

2^n-1

2ⁿ

One root of the equation cos x - x + 1/2 = 0 lies in the interval

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cos 3a =_______;

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3sin a - 4sin3 a

4sin a - 3sin3 a

3cos3 a - 4cos a

4cos3a - 3cos a

The point ________ is in the solution of the inequality 4x - 3y < 2

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(0,1)

(2,1)

(2,2)

(3,3)

Name the property used in 100 + 0 = 100

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Additive inverse

Multiplicative inverse

Additive identity

Multiplicative identity

The domain of an infinite sequence is a

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Set of natural numbers

R

Subset of N

None of the above

The sum of n terms of a series is denoted by

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d

n

S_n

a_n

______________ invented a symbolic way to write the statement "y is a function of x" as y= f(x)

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Leibniz

Newton

Euler

None of these

sin(π+θ)=_______;

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sinθ

cosθ

-sinθ

-cosθ

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One-one but not onto

One-one and onto

Onto but not one-one

Neither one-one nor onto

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