Understanding ISC Mathematics Class 11 Volume 2>Chapter 1 - Conic Sections>EXERCISE>Q 8

HARD

11th ICSE

IMPORTANT

Earn 100

Find the equation of the ellipse whose vertices are $(- 1, 2)$ and $(9, 2)$ and whose eccentricity is $\frac{4}{5}$ .

Important Questions on Conic Sections

HARD

11th ICSE

IMPORTANT

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

Find the equation of the ellipse whose foci are

(- 1, 5)

and

(5, 5)

and whose major axis is

10

.

HARD

11th ICSE

IMPORTANT

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

Find the equation of the ellipse whose foci are

(- 2, 4)

and

(4, 4)

and whose major axis is

10

. And also find eccentricity of the ellipse.

HARD

11th ICSE

IMPORTANT

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

Find the equation of the ellipse with its centre at

(3, 1)

, vertex at

(3, - 2)

and eccentricity

\frac{1}{3}

.

HARD

11th ICSE

IMPORTANT

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

Find the equation of the ellipse having its centre at

(2, - 3)

, one focus at point

(3, - 3)

and vertex at

(4, - 3)

.

MEDIUM

11th ICSE

IMPORTANT

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

Find the equation of the hyperbola whose centre is

(- 4, 1)

, vertex at

(2, 1)

and semi-conjugate axis is equal to

4

.

HARD

11th ICSE

IMPORTANT

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

Find the equation of the hyperbola whose foci are

(4, 1)

and

(8, 1)

and whose eccentricity is

2

.

MEDIUM

11th ICSE

IMPORTANT

Understanding ISC Mathematics Class 11 Volume 2>Chapter 1 - Conic Sections>EXERCISE>Q 4

Find the values of

k

, if the equation

8 x^{2} - 16 x y + k y^{2} - 22 x + 34 y = 12

represents an ellipse.

HARD

11th ICSE

IMPORTANT

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

Show that the line

x + y - 2 = 0

touches the parabola

x^{2} = - 8 y

. Find the coordinates of the point of contact.