Question # 1

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The locus of the centre of a circle which touches two given circles externally is:

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a hyperbola

an ellipse

a circle

a parabola

Roots of the equation x²- x = 2 are

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{2, -1}

{1, 0}

{2, 1}

{-2, 1}

If Z₁ = 1+ i, Z₂ = 2+3i , then |Z₁ -Z₂| =?

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√5

√7

-1-2i

√3

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x is a member of the set [-1, 0, 3, 5] y is a member of the set {-2, 1, 2, 4} which is possible?

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x - y = -6

x - y < -6

x - y > -6

None

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1

0

3

-1

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0

-1

1/2

1

A function f(x) is said to be the periodic function if for all x in the domain of f, there exists a smallest positive number p such the f(x + p) = ______

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f(p)

f(x)

f(o)

None of these

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An empty set

Universal set

A singleton set

None of these

(51)⁴is equal to

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7065201

8065201

6765201

6565201

A sequence having no last term is called

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arithmetic sequence

Geometric sequence

Finite sequence

Infinite sequence

sn (2sin-10.8)

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0.56

0.69

-0.16

0.96

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a₁+ a₂

a²₁+ a²₂

The domain of f(x) = log x is

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[0,∞]

(0,∞)

[0,∞[

[∞,∞]

Latus rectum = 4 x ______________

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focal distance of the vertex

Chord

Focus

1/2

In one hour the minute hand of a clock turns through

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{1, 2, 3} is _____

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an infinite set

A finite set

A singleton set

Universal set

Tan^-11/x = ______

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sin x

sec^-1X

cot^-1X

None of these

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quadratic function

constant function

trigonometric function

linear function

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l²+ m²+ n²= 0

l²- m²+ n²= 1

l²+ m²+ n²= 1

l²+ m²- n²= 0

The area of sector with central angle of 1 radian in a circular region whose radius is 2m is

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0.5m2

2m2

1m2

4m2

The distance of the point (2,3) from y-axis is

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2

3

5

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In R the left cancellation property w.r.t addition is

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Decimal part of irrational number is

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Terminating

Repeating only

Neither repeating nor terminating

Repeating and terminating

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The physical quantity which possesses both magnitude and direction is called a

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scalar

vector

constant

none of these

The identity element with respect to subtraction is

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0

-1

0 and 1

None of thes

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

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2x + y > 7

x - y > 2

3x + 5y < 6

2x + y < 6

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