Question # 1

If (x-1,y+1) = (0,0) the (x,y) is:

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(1,-1)

(-1,1)

(1,1)

(-1,-1)

Symbol of show similarity:

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a³+b³=..........:

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(a+b)(a²-ab-b²)

(a+b)(a²-ab+b²)

(a+b)(a²-ab-b³)

(a-b)(a²+ab+b²)

The square root of (4x2-12x+9):

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(2x+3)

(2x-3)

Write 4^2/3with radical sign

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A triangle is formed by ______ non-collinear points:

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1

2

3

4

∀ a,b∈ R, a + b = b + a is _____________ Property of real numbers.

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Closure property w.r.to '+'

Closure property w.r.to 'x'

Commutative property '+'

Commutative property w.r.to 'x'

Who used 'e' as the base for the preparation of logarithm tables.

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Henry Briggs

Jobst Burgi

Musa Al Khawrizmi

John Napier

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Square

Row

Column

Rectangular

HCF of a³+b³ and a²-ab+b² is:

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a+b

a²-ab+b²

(a-b)²

a²+b²

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Associative

Distributive

Commutative

None

Angle inscribed in a semi-circle is:

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The radius of incricle is called:

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In-radius

Escribed radius

E-radius

Radius

1/2 sosec 45^o

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1/2√2

1/√2

√2

√3/2

In an arc of circle substends a central angle 60°, then corresponding chord will make central angle:

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20°

40°

60°

80°

The ratio of the circumference and the diameter of the circle is:

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r

e

d

In degree measurement, 1^o is equal to:

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1^o

60^o

90^o

360^o

If two arcs of a circle (or of congruent circles) are congruent, then the corresponding chord are:

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Perpendicular

Parallel

Bisect each other

Equal

Pi radians is equal to:

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150°

160°

180°

240°

A complete circle is divided into:

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90°

180°

270°

360°

A proportion is a statement which expressed as an equivalence of:

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Four ratios

Threeratios

Tworatios

Oneratio

Which of the following is associative law of Intersection?

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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)

The number of subsets of a set having three elements is:

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2

3

4

8

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3×2

2×3

2×2

3×3

{2, 4, 6, 8, ...........} represents the set of:

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positive odd numbers

natural numbers

prime numbers

positive even numbers

Sum of all positive integral multiples of 3 less than 100 is:

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950

760

1230

875

The next term of the sequence 1, 6, 20, 56, ........ is:

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112

144

212

none

π is defined as:

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ration of diameter of a circle to its circumference

ration of the circumference of a circle to its diameter

ration of area of a circle to its circumference

ration of the circumference of a circle to its area

2 cos α sin ß =

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cos (α + ß) + cos (α - ß)

sin (α + ß) + sin (α - ß)

sin (α + ß) - sin (α - ß)

cos (α + ß) + cos (α - ß)

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A

B

B - A is a subset of:

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A

B

The middle term in the expansion of (1+x)^1/2 is:

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T₂

T₃

does not exist

none of these

If a function f is from a set X to a set Y, then set X is called the _______ of f:

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Domain

Range

Co-domain

None of these

The radius of circle x² + y² + ax + by + c = 0 is:

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None

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A function, which is to be maximized or minimized is called an ________:

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Maximum function

Objective funciton

Minimum function

None of these

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

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x = a

x = -a

y = a

y = -a

The line x = a is on the right of y - axis if:

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a > 0

a < 0

a = 0

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f(x)

ln |f(x)|

f'(x)

ln |f'(x)|

f(x) = sin x + cos x is ------------ function:

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Even

Odd

Composite

Neither even nor odd function

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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

In the translation of axes which formula is true:

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x = X + h

X = x + h

x + X = h

None

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

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Outside

Inside

On

None of these