Question # 1

Equality of two ratios is defined as _________:

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Direct proportions

Inverse proportions

Ratio

Proportion

Diagonal of Parallelogram divides it into two _______ triangles:

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Congruent

Not congruent

Not equal

None of these

In a triangle, there can be ________ right angle (s):

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Atleast one

Almost one

Two

No

Coordinate geometry is the study of ____________ shapes in Cartesian plane:

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Cuboid

Cubic

Geometrical

Spherical

The distance formula for two distinct points A(x₁,y₁) and B(x₂,y₂) are:

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A triangle is formed by ______ non-collinear points:

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1

2

3

4

Every surd is ______ number:

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Rational

Whole

Natural

Irrational

The right bisectors of the three sides of n triangle are________:

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Congruent

Collinear

Concurrent

Parallel

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ab-cd

ac-bd

bc-ad

ad-bc

M^-1=

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-M

AdjM

The positive square root of mean of the squared deviation of X,{1=1,2,3,.......n) observations from their arithmetic mean is called.

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Harmonic mean

Range

Standard deviation

Variance

20° =

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360'

630'

1200'

3600'

The Portion of a circle between two radii and an arc is called:

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Sector

Segment

Chord

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Polynomial

Variable

Constant

Co-efficient

sinθ cosθ = ......................

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sinθ

1/cosθ

1/sinθ

sinθ/cosθ

A relation between two quantities of same kind is called:

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Proportion

Ratio

Variation

Percentage

Which of the following is associative law of union?

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A∪ (B ∪ C) = (A∪ B)∪ C

A∩ (B∩C)= (A∩B)∩C

A∪ (B∩ C) = ( A∪ B)∩ (A∪ C)

A∩(B∪ C) = (A∩B)∪(A∩C)

If set has 3 and B has 2 elements then number binary relations of A x B.

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2²

2⁸

2⁶

2³

A fraction in which the degree of the numerator is greater or equal to the degree of denominator is called:

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A proper fraction

An improper fraction

An equation

Algebraic relation

∑▒〖(x-〗 x ̅)=………….

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0

1

-1

2

The union of two noncollinear rays, which have common end point is called.

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A Radian

A Minute

A degree

An angle

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Solution set of the equation x² - 3x + 2 = 0 is

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{-1, 2}

{1, -2}

{-1, -2}

{1, 2}

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

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none of these

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1

-1

-6

6

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p is false and q is true

both p and q are false

p is true and q is false

both p and q are true

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If A = [a_ij], B = [b_ij] and AB = 0 then:

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A = 0

B = 0

either A = 0 or B = 0

A & B not necessarily zero

The number of radius in the angle subtended by an arc of a circle at the center =

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radius × arc

radius - arc

The value of ⁵C₂ is:

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1

10

20

30

The additive inverse of a matrix A is:

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A

A^-1

- A

A²

The identity element with respect to addition is:

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0

1

-1

0 and 1

An integral of 3x² is:

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x³+c

3

6x

x^2+c

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

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The equation of the latus-rectum of the parabola y² = 4ax is:

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x = a

x = -a

y = a

y = -a

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Parallel lines

Non-parallel lines

Perpendicular lines

Coplanar lines

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28

29

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0

1

-1

2

For different values of k, the equation 4x + 5y = k represents lines ______ to the line 4x + 5y = 0.

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Perpendicular

Parallel

Equal

None of these

If a point lies inside a circle, then its distance from the center is:

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Equal to the radius

Less then the radius

Greater then the radius

Equal to or greater than the

If the upper limit is a constant and the lower limit is a variable, then the integral is a function of:

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x

y

lower limit

upper limit

The perpendicular distance of the line 3x + 4y + 10 = 0 from the origin is:

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0

1

2

3

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tan x + c

- tan x + c

sec x tan x + c

- sec x tan x + c