Understanding ISC Mathematics Class 11 Volume 2>Chapter 1 - Conic Sections>EXERCISE>Q 9

HARD

11th ICSE

IMPORTANT

Earn 100

Find the co-ordinates of the point on the parabola $y^{2} = 18 x$ whose ordinate is equal to three times the abscissa.

50% studentsanswered this correctly

Important Questions on Conic Sections

HARD

11th ICSE

IMPORTANT

Understanding ISC Mathematics Class 11 Volume 2>Chapter 1 - Conic Sections>EXERCISE>Q 10

If the parabola $y^{2} = 4 p x$ passes through the point $(3, - 2)$ , find the length of latus rectum and the co-ordinates of focus.

MEDIUM

11th ICSE

IMPORTANT

Understanding ISC Mathematics Class 11 Volume 2>Chapter 1 - Conic Sections>EXERCISE>Q 11

Find the equation of parabola with vertex at origin and having focus at

(- 4, 0)

.

MEDIUM

11th ICSE

IMPORTANT

Understanding ISC Mathematics Class 11 Volume 2>Chapter 1 - Conic Sections>EXERCISE>Q 11

Find the equation of parabola with vertex at origin and having Directrix as

y - 2 = 0

HARD

11th ICSE

IMPORTANT

Understanding ISC Mathematics Class 11 Volume 2>Chapter 1 - Conic Sections>EXERCISE>Q 11

Find the equation of parabola with vertex at origin, passing through the point

(2, 3)

and axis of parabola is along x-axis.

HARD

11th ICSE

IMPORTANT

Understanding ISC Mathematics Class 11 Volume 2>Chapter 1 - Conic Sections>EXERCISE>Q 12

Find the equation of the parabola whose vertex is at

(6, - 2)

and focus is at

(6, 2)

MEDIUM

11th ICSE

IMPORTANT

Understanding ISC Mathematics Class 11 Volume 2>Chapter 1 - Conic Sections>EXERCISE>Q 13

Find the equation of the parabola whose vertex is at

(- 2, 2)

and focus is at

(- 2, 6)

.

HARD

11th ICSE

IMPORTANT

Understanding ISC Mathematics Class 11 Volume 2>Chapter 1 - Conic Sections>EXERCISE>Q 14

Given that the vertex is at

(6, - 3)

and directrix is

3 x - 5 y + 1 = 0

, find the focus and the equation of parabola.

HARD

11th ICSE

IMPORTANT

Understanding ISC Mathematics Class 11 Volume 2>Chapter 1 - Conic Sections>EXERCISE>Q 15

Show that the equation $y^{2} + 6 y - 2 x + 5 = 0$ represents the parabola.find its vertex,focus,length of latus rectum,equation of axis and directrix.