﻿ The equation of the ellipse whose axes are of lengths 6 and  and their equations are x – 3y + 3 = 0 and 3x + y – 1 = 0 respectively, is : Kaysons Education

# The Equation Of The Ellipse Whose Axes Are Of Lengths 6 And  and Their Equations Are x – 3y + 3 = 0 And 3x + y – 1 = 0 Respectively, Is

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## Question

### Solution

Correct option is

Let P(xy) be nay point on the ellipse and let p1 and p2 be the lengths of the perpendiculars draw from P on the major and minor axes of the ellipse. Then,

Let 2a and 2b be the lengths of the major and minor axes of the ellipse,

We have,

.

The equation of the ellipse is

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