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Online Tests

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

Question # 1

Choose an answer

none of these

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Question # 2

Equation of the chord of contact to the tangents drawn from (-3,4) to the circle x2 + y2 = 21

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-3x + 4y =21

4x - 3x = 0

-3x + 4y = 25

None of these

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Question # 3

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Question # 4

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Question # 5

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

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Question # 6

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Question # 7

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

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Question # 8

Number of conics is

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1

3

2

4

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Question # 9

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Question # 10

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Question # 11

The parabola y2 + 2y + x = 0 lie in _____ quadrant.

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First

Second

Third

Fourth

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Question # 12

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

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Question # 13

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Question # 14

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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Question # 15

The eccentricity of parabola is:

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1

0

Greater than 1

Less than 1

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Question # 16

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11

61

1

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Question # 17

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2

4

3

16

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Question # 18

The radius of the circle (x - 1)²+ (y + 3)²= 61 is

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8

4

64

None of these

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Question # 19

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Question # 20

The equation of vertical asymptotes of y = cos ecx is

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x = 0

y = 0

x =∞

y =∞

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Question # 21

The eccentricity of the parabola y²= -8x is

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-2

2

-1

1

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Question # 22

The equation of the parabola with directirx x = 2 and the axis y = 0 is

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y²= 8x

y²= -8x

y²= 4x

y²= -4x

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Question # 23

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Question # 24

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

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Question # 25

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

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Question # 26

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An ellipse

A parabola

A circle

A hyperbola

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Question # 27

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

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vertex

Chord

Focus

Directix

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Question # 28

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Question # 29

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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Question # 30

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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