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

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

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## Question

### 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.

#### 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

Q2

The equation  represents an ellipse, if

Q3

The curve with parametric equations

Q4

The curve represented by

Q5

Length of the major axis of the ellipse , is

Q6

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

Q7

The eccentricity of the ellipse

Q8

If the eccentricities of the two ellipse

are equal, then the value , is

Q9

The curve represented by the equation

, is

Q10

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