Question # 1

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none of these

The tangents drawn from the point P to a circle are real and distinct 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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(-6,4)

(-3,2)

(6,-4)

(3, -2)

If (2, 3) and (2, 5) are end points of a diameter of a circle, then the centre of the circle is

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(2, 4)

(4, 8)

(0, 2)

(0, -2)

The straight line passing through the focus and perpendicular to the directrix of the conic is known as its

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Tangent

axis

Focal chord

major or manor axis

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

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

If a cone is cut by a plane perpendicular to the axis of the cone, then the section is a

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parabola

circle

hyperbola

ellipse

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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

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

Which shape of the following objects are approximately parabolic ares?

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Light reflectors

Force

Weight of the pendul

None of these

The line y= 4x +c touches the hyperbola x2- y2 =1 if and only if

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c =±√2

c =0

c=±√17

c=±√15

The eccentricity of the parabola y²= -8x is

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-2

2

-1

1

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An ellipse

A parabola

A circle

A hyperbola

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

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

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1

5

7

9

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(g,f)

(-g,f)

(g,-f)

(-g,-f)

The common point to four standard parabolas

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Focus

Centre

Vertex

P(x,y)

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 span of a standard parabola depends upon

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x

a

y

y2

If the line 2x -y +k =0 is a diameter of the circle x2 +y2 +6x -6y +5 =0 then k is equal to

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12

9

6

3

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

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8

4

64

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

The equation of vertical asymptotes of y = cos ecx is

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x = 0

y = 0

x =∞

y =∞

The line Ax + By + C = 0 will touch the circle x²+ y²=λ when

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C²=λ(A²+ B²)

A²=λ(A²+ C²)

B²=λ(A²+ C²)

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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