Question # 1

log_aa= :

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0

1

-1

10

4x + 3y - 2 is an algebraic:

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Expression

Sentence

Equation

In equation

In parallelogram opposite sides are:

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Opposite direction

Un-parallel

Parallel/congruent

Equi-distant

A point equidistant from the end points of a line-segment is on its___________:

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Bisector

Right-bisector

Perpendicular

Median

The conjugate of 5+ 4i is:

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-5 +4i

-5 - 4i

5 - 4i

5 + 4i

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M

O

-M

I

Real part in -3i is:

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3

O

-3

1

One angle on the base of an isosceles triangle is 30° what is the measure of its vertical angle:

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30°

60°

90°

120°

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If a:b = c:d, then a, b, c and d are said to be in _________

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Ratio

Variation

Proportion

Disproportion

The perpendicular bisector of a chord of a circle passes through the:

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Centre

Radius

Diameter

Arc

The ratio of a and b is written as:

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a : : b

a : b

a = b

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4.13

3.14

15.4

17.3

Which of the following is commutative law?

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A∪ (B ∪ C) = (A∪ B)∪ C

A∩ (B∩C)= (A∩B)∩C

A∪ B = B ∩ A

(A ∪ b)^c = A^c ∩ B^c

Sec²θ__________________

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1-Sin²θ

1-tan²θ

1 + Cos²θ

1-tan²θ

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2

1

0

Which of the following is complete description of Real numbers?

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N∪ W = R

O∪ E = R

P∪ Q = R

Q∪ Q' = R

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Radical equation

Reciprocal equation

Exponential equation

None of these

The domain of R = {(0, 2), (2, 3), (3, 3), (3, 4)} is:

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{0, 3, 4}

{0, 2, 3}

{0, 2, 4}

{2, 3, 4}

How many right angles are there in 360 degree?

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Two

Four

Six

Eight

Product of two roots =

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The amplitude and period of 3 sin x are:

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3, π

2, 2π

3, 3π

3, 2π

Amplitude of sin x is:

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R

[-1,1]

0

1

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degree of P(x) = degree of Q(x)

degree of P(x) < degree of Q(x)

degree of P(x) > degree of Q(x)

none of these

sin (Θ - π) =

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If, for all x in the domain of f, there exists a smallest positive number p such that f (x+p) = f(x), then p is the:

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period of f

period of 2f

period of 3 f

period of 4 f

sin (α + ß) =

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Sum of roots of ax² + bx + c = 0 is equal to product of roots only if:

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a+c=0

b+c=0

a+b=0

a+b+c=0

Number of terms in the expansion of (a+b)ⁿ is:

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n

n+1

n-1

none of these

To draw general conclusions from a limited number of observations is called:

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logic

proposition

induction

deduction

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2

4

6

8

A statement which is true for all possible values of the variables involved in it, is called a:

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tautology

conditional

implication

absurdity

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0

-1

1

2

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Lagrange

Newtown

Leibniz

Cauchy

The vertex of the parabola x² = 4ay is:

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(-a, 0)

(0, a)

(0, -a)

(0, 0)

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Unit Vector

Null vector

Position vector

None of these

In the case of rotation of axes which formula is true:

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If a pair of opposite sides of a quadrilateral are equal and parallel then it is:

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Rectangle

Rhombus

Parallelogram

None of these

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

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Graph

Function

Cartesian product

Relation

A line through a point say P perpendicular to the tangent to the curve at P is called:

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Straight line

Tangent line

Normal line

None of these

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Line

Parabola

Ellipse

Hybperbola

Which one is a constant function ?

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f(x) = x²

f(x) = x

f(x) = x + 1

f(x) = 14