Question # 1

If the vertex of the parabola is the origin and directrix is x+5 = 0 . then its latus rectum is:

Choose an answer

10

5

0

20

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

Choose an answer

-1 or 20

-10 or 40

-2 or 20

2 or 20

An ellipse slides between two lines at right angles to one another. The locus of its centre is :

Choose an answer

a parabola

an ellipse

a circle

a hyperbola

If x + y + 1 = 0 touches the parabola y²=λx, thenλis equal to

Choose an answer

2

4

6

8

The eccentricity of the parabola y²= -8x is

Choose an answer

-2

2

-1

1

The equation of the directrix of the parabola x²= 4ay is

Choose an answer

x + a = 0

x - a = 0

y + a = 0

y - a = 0

Choose an answer

none of these

Choose an answer

An ellipse

A parabola

A circle

A hyperbola

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

Choose an answer

Focal chord

Latus rectum

Tangent

Directrix

The equation of the circle with centre (h, k) and radius r is

Choose an answer

(x+ h)²+ (y+ k)²= r²

(x+ h)²+ (y - k)²= r²

(x - h)²+ (y+ k)²= r²

(x - h)²+ (y - k)²= r²

If e,e′ be the eccentricities of two conics S=0 and S′ =0 and if e2 +e′2 =3 then both S and S′ can be

Choose an answer

Hyperbola

Parabolas

Ellipses

None of these

Choose an answer

none of these

Ifᵨ> 1 , then the conic, is:

Choose an answer

Ellipse

Parabola

Hyperbola

None of these

Two circle s1: x2+ y2 +2x- 2y- 7= 0: s2: x2+ y2- 6x+ 4y+ 9= 0

Choose an answer

Touch externally

Touch internally

Intersects each other

Do not intersects

I f the focus is F ( 0,-a) and directrix is the line v=a, then equation of the parabola is:

Choose an answer

x² = 4ay

y² = 4ax

y² = -4ax

x² = 4ax

The line y = 2 x + c is a tangent to the parabola y²= 16 x if c equals

Choose an answer

-2

-1

0

2

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

Choose an answer

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

Choose an answer

y²= 8x

y²= -8x

y²= 4x

y²= -4x

The equation of the circle wit (-1, 1) and radius 2 is

Choose an answer

The area of the circle centred at (1,2) and passing through (4,6) is

Choose an answer

30 πsq.units

5π sq.units

15π sq.units

25π sq.units

What is the axis of the parabola y²= 4ax?

Choose an answer

x = 0

y = 0

x = a

y = 0

A line segment whose end points lie on a circle is called

Choose an answer

The secant of the circle

The arc of the circle

The chord of the circle

The circumference of the circle

Choose an answer

none of these

The point where the axis meets the parabola is called

Choose an answer

Directrix

Foucu

Chord

Vertix

The equation of the chord of the circle x²+ y²- 4x = 0 whose mid-point is (1, 0) is

Choose an answer

y = 2

y = 1

x = 2

x = 1

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

Choose an answer

(2, 4)

(4, 8)

(0, 2)

(0, -2)

The locus of the centre of a circle which touches two given circles externally is:

Choose an answer

a hyperbola

an ellipse

a circle

a parabola

Choose an answer

The equation x2+ y2- 8x+ 6y+ 25= 0 represents

Choose an answer

A circle

A pair of straight lines

A point

None of these

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

Choose an answer

Real and distinct

Imaginary

Real and coincident

None of these

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

Choose an answer

Chord

Tangent

Lust rectum

directrix

More Classes

Other Links

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

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer