Question # 1

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1

2

3

4

Factors of a⁴-4b⁴ are:

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(a-b),(a+b),(a2+4b²)

(a²-2b²),(a²+2b²)

(a-b),(a+b),(a^2-4b²)

(a-2b),(a²+2b²)

The symbol of parallelogram is:

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||

||^gm

gm||

The distance between a line and a point on it is _________:

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Double

Equal

Half

Zero

a^m.aⁿ = a^m+nis ________ law of exponents.

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Sum of powers

Power of fraction

Power of power

Law of quotient

If two opposite sides of a quadrilateral are congruent and parallel it is a __:

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Square

Rhombus

Trapezium

Parallelogram

If Z < 0 then x < y→

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xz < yz

xz > yz

xz = yz

None of these

If ax=n, then:

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Equality of ______ ratio is defined as proportion:

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Two

Three

Four

Five

Congruent triangles are of _______ size and shape:

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Same

Different

Parallel

Similar

If length of rectangle is a units and width is b units, then area of rectangle is:

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a+b

a-b

axb

In ax²+b+c, the co-efficient of x is:

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b

d

c

a

Any two angles in the same segment of a circle are:

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Unequal

Equal

Parallel

Perpendicular

If set a has 3 elements and B has 4 then A x B has __________ elements.

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3

4

12

7

Sec²θ = ...........................

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1-Sin²θ

1+tan²θ

1+cos²θ

1-tan²θ

Standard deviation is denoted by

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x

S

S²

X²

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In a : b : : c : d, d is called:

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Thirdproportional

Fourthproportional

Meanproportional

Continuedproportional

The line that passes through centre and touches a circle at two points is called:

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Diameter

Radius

Arc

Corners

Cosec²θ - Cot²θ = ______________

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-1

1

0

tanθ

The fourth proportional w of x : y::v : w is:

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xyv

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The multiplicative identity of real numbers is:

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0

1

2

-1

Which one is not a quadrant angle ?

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0°

90°

280°

270°

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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Zero is:

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a natural number

a whole number

a positive integer

a negativeinteger

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Which number cannot be a term of a geometric sequence ?

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0

1

-1

r

r₂ =

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A clock strikes once when its hour hand is at one, twice when it is at two, and so on. How many times does the clock strike in ten hours ?

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55

78

66

46

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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

No. of triangles can be formed by joining the vertices of the polygon having 12 sides ?

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202

220

110

none of these

The point where the axis meets the parabola is called ________ of the parabola:

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Directrix

Vertex

Focus

Eccentricity

If y = x² + 1 _______________ x changes from 3 to 3.02 then dy = __________

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0.1204

.12

.02

1.2

If the equation of the parabola is y² = - 4ax, then opening of the parabola is to the ______ of the y-axis:

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Left

Upward

Right

Downward

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1

2

3

0

A unit vector is defined as a vector whose magnitude is:

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0

2

1

4

Let f(x) = x³ + sin x, then f(x) is:

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Even function

Odd function

Power function

None of these

Infinite number of lines can pass through:

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One point

Two points

Three points

Four points

The distance between two points P₁ (x₁, y₁) and P₂ (x₂, y₂) on the co-ordinate plane is given by:

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ln |sec x + tan x | + c

ln |cosec x - cot x | + c

ln |sec x - tan x| + c

ln |cosec x + cot x | + c

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sin x

cos x

sinh x

cosh x

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a cosec (ax + b)

cot (ax + b)