Question # 1

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1

5

7

9

The conic ax2+2hxy+by2+2gx+2fy+c= 0 never represent a circle if

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a≠ b,h≠0

a=b

h≠0

h=0

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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

The point where the axis meets the parabola is called

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Directrix

Foucu

Chord

Vertix

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none of these

The number of standard parabolic functions are is

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4

2

3

1

The line y =mx +1 is tangent to the parabola y2 =4x if

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m=1

m=2

m=3

m=4

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For what value of k, 3x -2y+ k= 0 is tangent to the circle x2 +y2 +6x -4y =0

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k=0

k=0 or 26

k = 26

k=-13

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 vertex of the parabola (xsin a -ycos a)2 =4a(xcos a +ysin a) lies at

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(acos a,asin a)

(a,0)

(cos a,sin a)

(0,0)

A line joining two distinct points on a parabola is called

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Axis

Directrix

Chord

Tangent

The equation of the normal to the circle x²+ y²= 25 at (4, 3) is

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3x - 4y =0

3x - 4y =5

4x + 3y = 5

4x + 3y = 25

The axis of the parabola x² = 4ay is:

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y = 0

x = 0

x = -a

y = a

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11

61

1

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

Conic sections or simply conics are the curves obtained by cutting a right circular cone by

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a line

two lines

a plane

two planes

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

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

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-a

a

a/2

0

Latus rectum = 4 x ______________

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focal distance of the vertex

Chord

Focus

1/2

The equation ax²+ 2hxy + by²+2gx + 2fy + c =0 represents an ellipse if

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Number of conics is

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1

3

2

4

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

The two different parts of the hyperbola are called its

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Vertices

Directrices

Nappes

Branches

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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

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

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Chord

Tangent

Lust rectum

directrix

The number of tangents to the circle x2+ y2 -8x -6y +9 =0 which pass through the point (3,-2) is

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2

1

0

None of these

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

Two tangents drawn from (2,3) to the circle x2+y2 =9 are

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Real and distinct

Imaginary

Real and coincident

None of these

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ECAT Pre General Science Mathematics Chapter 23 Conic Section Online Test MCQs With Answers

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