Question # 1

Power set of difference set N-W is

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Empty set

Infinite set

Singleton set

{0,∅}

There are ______ types of rational fraction

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Three

Four

Five

Two

The line y = 2 x + c is a tangent to the parabola y²= 16 x if c equals

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-2

-1

0

2

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

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cosec x + c

-cosec x + c

-sec x + c

sec x + c

If x - 2 is a factor of ax2- 12x + a = 2a, then a = ______

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-5

5

0

1

The set {1, -1, i, -i}

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Form a group w.r.t addition

Form a group w.r.t multiplication

Does not form a group w.r.t multiplication

Not closed under multiplication

The law of cosines reduces to a2 +c2 =b2 for

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α = 90°

β = 90°

γ = 90°

α +β +γ =180°

How many arrangements of the letters of the word PAKISTAN cab be made

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Optimal solution is found by evaluation the objective function at

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All point of feasible region

Corner point

Origin

None

A vertical pole is 8m high and the length of its shadow is 6m. The angle of elevation of the sun of the moment is

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57𝜊

-48𝜊

27𝜊

53𝜊

For each natural number n, n (n+1) is

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an even

an odd

multiple of 3

Irrational

The seventh term of an A.P whose first term is P and common difference is q. is

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P-6q

P+6q

P-4q

P-nq

The value of sin-1 24/25 is equal to

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csc-1 25/24

sec-1 24/25

2 tan-1 4/5

2cos-1 24/25

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(x³- 3x²)⁸+ c

3x²- 6x + c

The direction cosines of a line equally inclined with co-ordinate axes are

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The complement of set A relative to universal set U is the set

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{x / x∈ A∧ x∈ U}

{x / x∉ A∧ x ∈ U}

{x / x∈ A and x ∉ U}

A-U

Which one is a pair of allied angles

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(180° -θ)

(180° -θ,180° +θ)

(180° +θ)

None of these

______________ 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

The value of the expression sinθ+ cosθlies between

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A number A is said to be the A.M between the two numbers a and b if a, A, b are in

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A.M

A.P

G.P

G.M

The liner equation ax + by = c is called _________ of the inequality ax +by > c.

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Associated equation

Non-associated equation

disjoint equation

Feasible equation

The 60th part of one minute is called

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Degree

Second

Radiam

None of these

Cos (cos4π/3)=

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π/2

π/3

2π/3

-π/3

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

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-x

Infinite set

{-4, 4}

None of these

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a sec(ax + b) + c

- a sec(ax + b) + c

i⁹ =

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i²

-1

1

i

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In R, the additive identity is

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0

1

-1

None

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Singular

Non-singular

Adjoint

None of above

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