﻿ Find the condition on a and b for which two distinct chords of the ellipse  passing through (a, –b) are bisected by the line x + y = b.  : Kaysons Education

# Find The Condition On a and b for Which Two Distinct Chords Of The Ellipse  passing Through (a, –b) Are Bisected By The Line x + y = b.

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## Question

### Solution

Correct option is

Let (tb – t) be a point on the line x + y = b

Then equation of chord whose mid point (tb – t) is

(a, –b) lies on (i) then

Since t is real

, which is the required condition.

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