Question # 1

If the focus lies on the y-axis with coordinates f(0,a) and directrix of the parabola is y = -a, the equation of parabola is:

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y² = -4 ax

x² = 4ay

x² = -4ay

y² = 4ax

Two circle s1: x2+ y2 +2x- 2y- 7= 0: s2: x2+ y2- 6x+ 4y+ 9= 0

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Touch externally

Touch internally

Intersects each other

Do not intersects

If the circle x²+ y²+ 2gx +2fy + c = 0 passes through the origin then

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c = 0

c = -1

c = -2

c = 1

The eccentricity of parabola is:

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1

0

Greater than 1

Less than 1

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none of these

The slope of the tangent at the point (h,h) of the circle x2 +y2 =a2 is

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0

1

-1

h

The remove the term involving xy, from 7x2 -6√3xy+ 13y2 -16 =0 the angel of rotation is

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θ = 30°

θ = 45°

θ = 60°

θ = 75°

The point where the axis meets the parabola is called

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Directrix

Foucu

Chord

Vertix

The parametric equations of a circle are

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The length of the tangent from (2, 1) to the circle x²+ y²+ 4y + 3 = 0 is

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11

61

1

The straight line passing through the focus and perpendicular to the directrix of the conic is known as its

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Tangent

axis

Focal chord

major or manor axis

The ellipse and hyperbola are called

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Concentric conics

Central conics

Both a b

None

The fixed point from which all the points of a circle are equidistant is called the

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chord of the circle

centre of the circle

diameter of the circle

radius of the circle

The point on y²= 4ax nearest to the focus has its abciassae equal to

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-a

a

a/2

0

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A parabola

An ellipse

A hyperbola

A circle

The eccentricity of ellipse becomes zero, then it takes the form of:

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a parabols

a straight line

a circle

None of these

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If x + y + 1 = 0 touches the parabola y²=λx, thenλis equal to

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2

4

6

8

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c = 0

c = -1

c = -2

c = 1

The centre fo the circle x²+ y²+ 12x -10 = 0 is

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(12, -10)

(6, -5)

(-12, 10)

(-6, 5)

The parabola y²= x is symmetric about

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x-axis

y-axis

Both x and y-axis

The line y = x

If (0, 0) and (0, -1) are end points of a diameter, then the equation of the circle is

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If (x₁, y₁) and (x₂,y₂) are the end points of a diameter then the centre of the circle is

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none of these

The perpendicular bisector of any chord of a circle

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Passes through the centre of the circle

Does not pass through the centre of the circle

May or may not pass through the centre of the circle

None of these

The end points of the major axis of the ellipse are called its

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Foci

Vertices

Co - vertices

None of these

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