Question # 1

The axis of the parabola y²= 4ax is

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X = 0

Y = 0

X = y

X = -y

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The conic is a parabola if

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e < 1

e > 1

e = 1

None of these

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The centre of the circle x2+y2 -2fx-2gy+x=0 is

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(-g,-f)

(g,f)

(f,g)

(-f,-g)

A line joining two distinct points on a parabola is called a ______ of the parabola.

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Chord

Tangent

Lust rectum

directrix

A line segment whose end points lie on a circle is called

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the secant of the circle

the arc of the circle

the chord of the circle

the circumference of the circle

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 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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The general equation of a circle is

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a chord passing through the focus of a parabola is called a:

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Focal chord

Latus rectum

Tangent

Directrix

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none of these

A rectangular hyperbola whose centre is C is cut by any circle of radius r in four points P, Q, R and S. Then CP²+ CQ²+ CR²+ CS²=

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r²

2 r²

3 r²

4 r²

Circumcentre of the triangle, whose vertices are (0, 0), (6, 0) and (0, 4) is

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(2, 0)

(3, 0)

(0, 3)

(3, 2)

The sum of the focal distance from any point on the ellipse 9x2 +16y2 =144 is

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32

16

18

8

The line through the focus and perpendicular to the directrix is called ______ of the parabola

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axis

focal chord

tangent

latus rectum

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

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vertex

Chord

Focus

Directix

The two different parts of the hyperbola are called its

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Vertices

Directrices

Nappes

Branches

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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

The eccentricity of the parabola y²= -8x is

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-2

2

-1

1

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

A circle is a limiting case of an ellipse whose eccentricity

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Tends to a

Tends to b

Tends to 0

Tends to a + b

If the cutting plane is slightly tilted and cuts only one nappe of the cone, the intersection is

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an ellipse

a hyperbola

a circle

a parabola

The parabolay2=4ax open up if

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a<0

a≠0

a>0

All are incorrect

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(1, 3)

(-1, -3)

(1, -3)

(-1, 3)

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The tangents drawn from the point P to a circle are real and coincident if

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P is on the circle

P is inside the circle

P is outside the circle

none of these

If a > 0 they parabola y2 =-4ax lies in

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I and iv quadrant

I quadrant

II and III quadrant

All are incorrect

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none of these

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