Question # 1

Which of the following is the definition of singleton

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The objects in a set

A set having no element

A set having no subset

None of these

The element range of sequence are called

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Series

progression

Members

Terms

A square matrix A for which A^t= A is called a

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Column matrix

Symmetric matrix

Skew-symmetric matrix

Row matrix

(1, 2) is in the solution of the inequality

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2x + y > 8

2x + y < 6

2x - y > 1

2x + 3y < 2

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The point of concurrency of the right bisectors of the sides of a triangle is called

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incentre

circum center

e-center

centroid

Associative law of multiplication

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ab - ba

a(bc) = (ab) c

a(b + c) = ab +ac

(a +b)c = ac + bc

The first three terms in the expansion of (1 - x)^-2are

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1 - 2x + 3x²

1 - 2x - 3x²

1 + 2x + 3x²

-2 - 2x +3x²

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0

-1

1

2

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direction ratios

direction cosines

direction angles

none of these

The equation of vertical asymptotes of y = cos ecx is

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x = 0

y = 0

x =∞

y =∞

The equation of line passing through intersection of line x = 0 and y = 0 and the point (2,2) is

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y = x

y = x - 1

y = x + 1

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1

2

3

None of these

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3

2

8

0

The equation of the sphere passing thro' (0, 0, 0), (a, 0, 0), (0, b, 0), (9, 0, c) is

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x²+ y²+ z²+ 2 ax +2 by + 2cz = 0

x²+ y²+ z²- 2ax - 2 by - 2cz = 0

x²+ y²+ z²- ax - by - cz = 0

x²+ y²+ z²+ ax + by + cz = 0

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The square root of 2i - 20i is

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+-(5 - 2i)

+-(5 + 2i)

(5 - 2i)

None of these

Any point, where f is neither increasing nor decreasing and f(x) = 0 at that point, is called a

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Minimum

Maximum

Stationary point

Constant point

If d₁is the distance between (0,0) and (1,2) and d₂is the distance between (0,0) and (2,1) then

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d₁= d₂

d₁<d₂

d_1>d₂

none of these

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Rational

Irrational

Non-real

Zero

If p and q are two statements then their biconditional 'p if q' is denoted by

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An A.P., a G.P. and a H.P. have the same first and last terms and the same odd numbers of terms, the middle terms of the three series are in

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A.P.

G.P.

H.P.

None of these

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Associative law of addition

Commutative law of addition

Additive identity

Closure law of addition

If x is an image of y under the function f. This can be written as

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y = f(x)

f(x) = 0

x = f(y)

f(y) =0

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a = 4, b = 1

a = 1, b = -4

a = 0, b = 4

a = 2, b = 4

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If f(x) = -x³then f(-2) is

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-2

-4

-8

8

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8

4

64

Φset is the ______ of all sets?

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Subset

Union

Universal

Intersection

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