Question # 1

Ifᵨ> 1 , then the conic, is:

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Ellipse

Parabola

Hyperbola

None of these

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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

If t is the parameter for one end of a focal chord of the parabola y²= 4ax, then its length is

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The number of standard parabolic functions are is

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4

2

3

1

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

The point (x₁, y₁) lies outside the circle x²+ y²+ 2gx + 2fy + c =0 if

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The line through the centre and perpendicular to the transverse axis is called the

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Major axis

Minor axis

Focal axis

Conjugate axis

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5

25

3

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

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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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0

1

13

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

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First

Second

Third

Fourth

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The parametric equations of a circle are

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Two circles x2 +y2 +8x -9= 0 and x2+y2+6y +k =0 touchinternallyif the value of k is

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k = 9

k = ±9

k=-9

k=11

The second degree equation 2x2 -xy+ 5x -2y +2 =0 represents

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Circle

Hyperbola

Ellipse

Pair of straight lines

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

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Circle

Hyperbola

Ellipse

Parabola

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 eccentricity of the conic 9x²- 16y²= 144 is

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4/5

5/4

4/3

3/4

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

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(1, 3)

(-1, -3)

(1, -3)

(-1, 3)

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

y=-a is the equation of the directrix of

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y2 =4ax

x2=-4ay

x2=4ay

y2=-4ax

The point where the axis meets the parabola is called

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Directrix

Foucu

Chord

Vertix

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Equation of normal to the circle x2 + y2 =25 at (5cosθ,5sinθ)

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xcosθ+ysinθ =5

xcosθ -ysinθ =0

xsinθ -ycosθ =0

None of these

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

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Focal chord

Latus rectum

Tangent

Directrix

Number of conics is

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1

3

2

4

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

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