Question # 1

The logarithm of any number consist of parts:

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Three

Four

One

Two

In which Quadrant of the coordinate plane the Point (-4,3) lies:

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IV

III

II

I

The degree of polynomial is x²y²+3xy+y³:

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1

2

3

4

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5cm²

10cm²

20cm²

25cm²

In a parallelogram:

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Opposite sides are congruent

Opposite angles are congruent

The diagonals bisect each other

All of these

One and only one line can be drawn through ______ points:

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Two

Three

Four

Five

An _________ is that in which constants or variable or both are combined by basic operation:

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Matrix

Algebraic expression

Logarithm

Complex number

In acute angled triangle _______ angles are less then 90°:

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1

2

3

None of these

Factors of 8x³+27y³:

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(2x+3y)(4x²-6xy+9y²)

(2x-3y)(4x²+6xy+9y²)

(2x-3y)(4x²-6xy-9y²)

(2x-3y)(4x²+6xy-9y²)

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The right bisector of the sides of a triangle intersect each other on the hypotenouse:

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Acute angled

Right angled

Obtuse angled

None of these

Two tangents drawn to a circle from a point outside it are of _________ in length

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Half

Equal

Double

Triple

In a proportion a:b:c:d, and d are called:

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Means

Extremes

Third proportional

None of these

A quadratic equation has:

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Two roots

Three roots

Fourroots

Fiveroots

Power set of empty set.

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∅

{a}

{∅,{a}}

{∅}

The formula of range is:

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X_max -X_min

X_max + X_min

groups/wight

none of these

Which of the following is De-Morgan's law?

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(A∪ B)∪ C = A∪ ( B∪ C)

(A∩B)^C= A^c∪ B^c

A∪ (B∩ C) = ( A∪ B)∩ (A∪ C)

A∩(B∪ C) = (A∩B)∪(A∩C)

If tan θ = √3 then θ =____________.

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30°

45°

60°

90°

A frequency polygon is a many sides.

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Closed figure

Rectangle

Circle

Triangle

Sin 60^o = ................

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1/2

√3/2

2

2/√3

if A and B are disjoint sets , then A∪ B is equal to.

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A

B

∅

B∪ A

The two tangents drawn to a circle from a point outside it, are equal in;

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Length

Radius

Measure

Diameter

Number of terms in the expansion of (x+y)⁶ is:

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7

6

2

8

Range of the function y = tan^-1 x is:

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Every real number is also a/an:

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integer

rational number

irrationalnumber

complexnumber

tan (α - ß ) =

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In binomial expansion of (a+b)n, n is positive integer the sum of even coefficients equals:

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none of these

Sum of integral multiples of there between 4 and 22 is:

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81

75

211

none

A set can be described by:

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one way

two ways

several ways

threeways

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0

i

-i

1

Truth table containing all the values true is called:

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absurdity

conjunction

tautology

none

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A and B are power sets

A and B are disjoint sets

A and B are super sets

A and B are equal sets

The graph of linear equation of the form ax + by = c is a _________ where a, b and c are constants and a, b are not both zero.

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Curve

Circle

Straight line

Parabola

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cos x + c

- cos x + c

sin x + c

-sin x + c

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sinh x

cosh x

-sinh x

-cosh x

If the directed distances AP and PB have same signs, then their ratio is positive and P is said to divide AB:

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Internally

May be divide

Externally

None of these

The center of circle x² + y² + 2gx + 2fy + c = 0 is:

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(-g, -f)

(-f, -g)

(0, 0)

(g, f)

If y is an image of x under the function f, we denote it by:

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x = f(y)

x = y

y = f(x)

f(x, y) = c

There are _______ feasible solutions in the feasible region:

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Finitely

Two

Infinitely many

Three

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Line parallel to x-axis

Line parallel to y-axis

Line passing through the origin

Both (a) and (b)

Point (5, 6) lies ..... the circle x² + y² = 81:

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Outside

Inside

On

None of these

The line l is horizontal if and only if slope is equal to:

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0

1

2

undefined

If y = f(u) and u = F(x), then: