﻿ For what value of λ dose the line y = x + λ touches the ellipse 9x2 + 16y2 = 144. : Kaysons Education

# For What Value Of λ Dose The Line y = X + λ Touches The Ellipse 9x2 + 16y2 = 144.

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## Question

### Solution

Correct option is

Equation of ellipse is 9x2 + 16y2 = 144

Comparing this with

Then we get a2 = 16 and b2 = 9 and comparing the line y = x + λ with y = mx + c

m = 1 and c =  λ

If the line y = x + λ touches the ellipse

9x2 + 16y2 = 144,  then

c2 = a2m2 + b2

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