MEDIUM
JEE Main
IMPORTANT
Earn 100

The distance between the foci of an ellipse is 10 and its latus rectum is 15 ; find its equation referred to its axes as axes of coordinates.

Important Questions on Conic Section

MEDIUM
JEE Main
IMPORTANT
Eduwiser's Coordinate Geometry for JEE Main and Advanced>Chapter 4 - Conic Section>4.2.1>Q 12
Find the equation of the ellipse in the standard form whose minor axis is equal to the distance between foci and whose latus-rectum is 10
EASY
JEE Main
IMPORTANT
Eduwiser's Coordinate Geometry for JEE Main and Advanced>Chapter 4 - Conic Section>4.2.1>Q 13
The eccentricity of an ellipse is 12 and the distance between its foci is 4 units. If the major and minor axes of the ellipse are respectively along the x and y axes, find the equation of the ellipse.
MEDIUM
JEE Main
IMPORTANT
Eduwiser's Coordinate Geometry for JEE Main and Advanced>Chapter 4 - Conic Section>4.2.1>Q 14
Find the equation of the ellipse passing through 6,4, foci on y-axis, centre at the origin and having eccentricity 34.
HARD
JEE Main
IMPORTANT
Eduwiser's Coordinate Geometry for JEE Main and Advanced>Chapter 4 - Conic Section>4.2.1>Q 15
Find the equation of the ellipse passing through 4,1 with focus as ±3,0.
MEDIUM
JEE Main
IMPORTANT
Eduwiser's Coordinate Geometry for JEE Main and Advanced>Chapter 4 - Conic Section>4.2.1>Q 16
Find the equation of the set of all points whose distances from (0,4) are 23 of their distances from the line y=9
HARD
JEE Main
IMPORTANT
Eduwiser's Coordinate Geometry for JEE Main and Advanced>Chapter 4 - Conic Section>4.2.1>Q 17
Find the equation to the ellipse whose foci are 4,0 and -4,0 and eccentricity is 13.
MEDIUM
JEE Main
IMPORTANT
Eduwiser's Coordinate Geometry for JEE Main and Advanced>Chapter 4 - Conic Section>7.1>Q 79
Find the equation to the ellipse (referred to its axes as the axes of x and y respectively) which passes through the point (-3,1) and has eccentricity 25
MEDIUM
JEE Main
IMPORTANT
Eduwiser's Coordinate Geometry for JEE Main and Advanced>Chapter 4 - Conic Section>7.1>Q 82
If the angle between the lines joining the foci of any ellipse to an extremity of the minor axis is 90°, find the eccentricity. Also find the equation of the ellipse if the major axis is 22.