Question # 1

Every relation, which can be represented by a linear equation in two variables, represents a

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Relation

Cartesian product

Function

Graph

8 . 7 . 6. 5 in factorial form is

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The angle between the vectors u =2i - i + k and v = -i + i is:

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3π/2

2π/3

5π/6

π/3

The period of the trigonometric function y = sin x cos x is

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2π

π

4π

π / 2

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π

2π

π/2

None of these

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cos x

- sin x

- cos x

tan x

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

(x + 2)²= x²+ 4x + 4 is

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A linear equation

A cubic equation

A quadratic equation

None

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3

1

2

4

If the roots of ax²+ bx + c = 0 (a > 0) be greater than unity, then

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a + b + c = 0

a + b + c > 0

a + b + c < 0

None of these

The roots of (x - a)(x - b) = ab x2 are always

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Real

Depends upon a

Depends upon b

Depends upon a and b

30° = ______

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If n is any positive integer then 4ⁿ>3ⁿ+ 4 is true for all

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Cos (cos4π/3)=

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π/2

π/3

2π/3

-π/3

An open sentence formed by using the sign of equality "=" is called

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Equation

In equation

True sentence

False sentence

The set of months in a year beginning with S.

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{September, October, November}

Singleton set

Null set

Empty set

The multiplicative inverse of x such that x = 0 is

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-x

does not exist

1/x

0

The proposition S(n) for any n∈ N is only true if k∈ N and

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S(k +1) is true

S(1) is true and S(k+1) is true whenever S (k) is true

S(k+1) is true whenever S (k) is true

S(k) is true

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

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G.P

H.P

G.M

None of these

If ∀a,b ε R,then a +b ε R is a property

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Closure law of addition

Associative law of addition

Additive inverse

Additive identity

If for the matrix A, A⁵= I, then A^-1=

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A²

A³

A

None of above

Four cards are drawn at random from a pack of 52 playing cards. The probability of getting all the four cars of the same suit is

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44/4165

22/4165

11/4165

None of these

Riaz, Saba. Maria, Shehzad are to give speeches in a class. The teacher can arrange the order of their presentation in

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4 ways

12 ways

256 ways

24 ways

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

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k = 2

k = ±2

k = -2

k ≠0

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cosec x + c

-cosec x + c

-sec x + c

sec x + c

The sum of the even coefficients in the expansion (1 + x)ⁿis

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n²

2^n-2

2^n-1

2ⁿ

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Hermitian matrix

Skew-hermitian matrix

Symmetric matrix

Identity matrix

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Diagonal matrix

Scalar matrix

Triangular matrix

Identity matrix

The difference of two consecutive terms of an A.P. is called ______

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General term

Common ratio

Common difference

None of these

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30°

60°

45°

None of these

x is a member of the set [-1, 0, 3, 5] y is a member of the set {-2, 1, 2, 4} which is possible?

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x - y = -6

x - y < -6

x - y > -6

None

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