Question # 1

The point which is closet to the focus of a parabola is:

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vertex

Chord

Focus

Directix

The conic is a parabola if

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e < 1

e > 1

e = 1

None of these

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The parametric equations of a circle are

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If e,e′ be the eccentricities of two conics S=0 and S′ =0 and if e2 +e′2 =3 then both S and S′ can be

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Hyperbola

Parabolas

Ellipses

None of these

The latus rectum of the ellipse 5x²+ 9y²= 45 is

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10 / 3

5 / 3

3 / 5

3 / 10

If 2x +y + λ =0 is normal to parabola y2 =-8x,λ= _____

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12

8

24

-24

The tangents drawn from the point P to a circle are imaginary if

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P is on the circle

P is inside the circle

P is outside the circle

none of these

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c = 0

c = -1

c = -2

c = 1

The equation x2+ y2- 8x+ 6y+ 25= 0 represents

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A circle

A pair of straight lines

A point

None of these

The equation of the circle wit (-1, 1) and radius 2 is

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

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Foci

Vertices

Co - vertices

None of these

The directrix of y2 =-4ax is

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y =-a

y = a

x = a

x = -a

If eccentricity of ellipse becomes zero then it takes the form of

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A parabola

A circle

A straight line

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)

The point where the axis meets the parabola is called

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Directrix

Foucu

Chord

Vertix

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The line through the centre and perpendicular to the transverse axis is called the

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Major axis

Minor axis

Focal axis

Conjugate axis

If (a, b) is the mid-point of a chord passing thro' the vertex of the parabola y²= 4x, then

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a = 2b

2a = b

a²= 2b

2a = b²

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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The equation of a line parallel to the tangent to the circle x²+ y²= 16 at the point (2, 3) and passing thro' the origin is

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2x + 3y = 0

2x - 3y = 0

3x + 2y = 0

3x - 2y = 0

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

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