Question # 1

The point where the axis meets the parabola is called

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Directrix

Foucu

Chord

Vertix

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A parabola

An ellipse

A hyperbola

A circle

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none of these

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

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The ellipse and hyperbola are called

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Concentric conics

Central conics

Both a b

None

The area of the circle centred at (1,2) and passing through (4,6) is

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30 πsq.units

5π sq.units

15π sq.units

25π sq.units

If a plane passes through the vertex of a cone then the intersection is

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an ellipse

a hyperbola

a point circle

a parabola

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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

The second degree equation of the form Ax2 +By2 +Gx +Fy +C =0 represent hyperbola if

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A = B≠ 0

A≠ B and both are of same sign

A≠ B both are of opposite sign

Either A = 0 or B =0

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none of these

Latus rectum = 4 x ______________

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focal distance of the vertex

Chord

Focus

1/2

The conic is a parabola, when:

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ᵨ > 1

ᵨ < 1

ᵨ = 1

ᵨ = 0

The eccentricity e of an ellipse is always

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Rational

Real

Irrational

Integer

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the latus rectum of the parabola x³= -4ay is:

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x = a

y = -a

x = -a

y = 0

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If either A = 0 or B =0,then Ax2 +By2 +2Gx +2Fy +c =0 represents a

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Circle

Hyperbola

Ellipse

Parabola

ᵨ is a

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variable

Positive constant

Positive variable

Directrix

the curve of the parabola y² = -4ax is symmetric with respect to

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x -axis

y - axis

Botha x and y- axis

None of thes

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

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8

4

64

The line joining the center of a circle to the midpoint of the chord is

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Perpendicular to the tnagent

Perpendicular to the normal

Perpendicular to the chord

What is the axis of the parabola y²= 4ax?

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x = 0

y = 0

x = a

y = 0

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The line y = 2 x + c is a tangent to the parabola y²= 16 x if c equals

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-2

-1

0

2

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 equation of the circle with centre (5, -2) and radius 4 is

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(x-5)²+ (y+2)²= 16

(x-5)²+ (y+2)²= 4

(x-5)²+ (y-2)²= 16

(x-5)²+ (y-2)²= 4

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