Question # 1

The constant distance of all points of the circle from its centre is called the

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Radius of the circle

Secant of the circle

Chord of the circle

Diameter of the circle

The general value ofθsatisfying the equation 2 sin²θ- 3 sinθ-2 = 0 is

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A

A'

U

None of these

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real number

complex number

rational number

irrational number

The lotus of intersection of perpendicular tangents to the parabola y² = 4ax is:

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Axis of the parabola

Focal chord of the parabos

The tangent at vertex of the parabola

a directrix of the parabola

The quadratic formula is

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If ax + bx + c =0 is satisfied by every value of x,then

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b = 0,c = 0

c = 0

b = 0

a = b = c = 0

Three consecutive terms of a progression are 30, 24, 20. The next terms of the progression is

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Which of the following statement is true?

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A set is a collection of non-empty object

A set is a collection of only numbers

a set is any collection of things

a set is well-defined collection of objects

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f(x) = ax + b will be a constant function if

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a = 1 , b = 1

a = 1 , b = 0

The number of divisors of 1029, 1547 and 122 are in

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A.P.

G.P.

H.P.

None of these

Find a if 1 is a root of the equation x²+ ax + 2 = 0

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3

-3

2

0

A point (x,y) which satisfy a linear inequality in two variables form its

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Solution

Domain

Range

None

Sin -1 x=

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sin(π/2-x)

Sin-1 (π/2-x)

π/2-cos-1x

π/2 + cos-1x

The general term of the A.P. is

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a₁+ (n - 1) d

n + (a₁- 1) d

d + (n - 1) a₁

None of these

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A natural number

A rational number

An irrational number

A whole number

The graph of a quadratic function is

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Circle

Straight line

Parabola

Triangle

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The equation of the tangent at vertex to the parabola is y2 = -8(x -3)

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y=0

x=3

x=1

x=5

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

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1

2

3

4

[i,j,k]

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0

2

1

-2

If the radius of a circle is increased by 1 then area of circle will be

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π r2

π(r+1)2

π r2 +1

2π (r+1)

A prime number can be a factor of a square only if it occurs in the square at least

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Once

Thirce

Twice

None of these

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1

1/2

0

None

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x = 3

x = 1/5

x = 0

None of these

The position vector of a point (x, y) in xy plane is

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none of these

Coordinates of the focus of the parabola x² - 4x -8y-4=0 are:

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(0,2)

(,0,1)

(2,0)

(1,2)

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