The Equation Of The Ellipse Whose Axes Are Along The Coordinate Axes, Vertices Are (±5, 0) Are Foci At (±4, 0), Is

Why Kaysons ?

Video lectures

Access over 500+ hours of video lectures 24*7, covering complete syllabus for JEE preparation.

Online Support

Practice over 30000+ questions starting from basic level to JEE advance level.

Live Doubt Clearing Session

Ask your doubts live everyday Join our live doubt clearing session conducted by our experts.

National Mock Tests

Give tests to analyze your progress and evaluate where you stand in terms of your JEE preparation.

Organized Learning

Proper planning to complete syllabus is the key to get a decent rank in JEE.

Test Series/Daily assignments

Give tests to analyze your progress and evaluate where you stand in terms of your JEE preparation.

SPEAK TO COUNSELLOR ? CLICK HERE

Download JEE Question paper & Solution Download JEE Important questions Download Complete syllabus of Maths, Physics, Chemistry

Question

The equation of the ellipse whose axes are along the coordinate axes, vertices are (±5, 0) are foci at (±4, 0), is

medium

Solution

Correct option is

Let the equation of the required ellipse be

The coordinates of its vertices and foci are (±a, 0) and (±ae, 0) respectively.

Now,

= 9.

Substituting the values of a² and b² in (i), we get , which is the equation of the required ellipse.

Download JEE Question paper & Solution Download JEE Important questions Download Complete syllabus of Maths, Physics, Chemistry

SIMILAR QUESTIONS

Q1

The normal at a point P on the ellipse x² + 4y² = 16 meets the x-axis at Q. If M is the mid-point of the line segment PQ then the locus of M intersects the latusrectums of the given ellipse at the points

easy View solution

Q2

The equation represents an ellipse, if

easy View solution

Q3

The curve with parametric equations

easy View solution

Q4

The curve represented by

easy View solution

Q5

Length of the major axis of the ellipse , is

easy View solution

Q6

The length of the axes of the conic 9x² + 4y² – 6x + 4y + 1 = 0 are

easy View solution

Q7

The eccentricity of the ellipse

easy View solution

Q8

If the eccentricities of the two ellipse

are equal, then the value , is

easy View solution

Q9

The curve represented by the equation

, is

easy View solution

Q10

The equation of the ellipse whose axes are along the coordinate axes, vertices are (0, ±10) and eccentricity e = 4/5, is

easy View solution