Question # 1

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(-6,4)

(-3,2)

(6,-4)

(3, -2)

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none of these

If the st. line 3x + 4y = K touches the circle x²+ y²- 10x = 0 then the value of K is

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-1 or 20

-10 or 40

-2 or 20

2 or 20

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 (0,4) and (0,2) are vertex and focus of the parabola respectively, the the equation of the parabola is:

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x² = 4y -32

x² =8y -32

y³ = 16 x

x2 + 8y =32

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

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Chord

Tangent

Lust rectum

directrix

Co-ordinate of a point on the parabola y² = 8x whose focal distance is 4 are:

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(2 , 4)

(-2 ,-4)

(-2, 4)

(2,-4)

The parabolay2=4ax open up if

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a<0

a≠0

a>0

All are incorrect

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

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184

none of these

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

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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

The eccentricity e of an ellipse is always

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Rational

Real

Irrational

Integer

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

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First

Second

Third

Fourth

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

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 sum of the focal distance from any point on the ellipse 9x2 +16y2 =144 is

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32

16

18

8

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2

4

3

16

For the parabola the line through focus and perpendicular to the directrix is called

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Tangent

Vertex

Axis

None

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5

25

3

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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=0 of the parabola y² = 4ax is the

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equation of directirx

Equatio of the tangent

Equation of axis

equation of latus rectum

If the focus lies on the y-axis with coordinates f(0,a) and directrix of the parabola is y = -a, the equation of parabola is:

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y² = -4 ax

x² = 4ay

x² = -4ay

y² = 4ax

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 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

The tangents drawn from the point P to a circle are imaginary 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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none of these

If eccentricity of ellipse becomes zero then it takes the form of

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A parabola

A circle

A straight line

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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