﻿ The locus of the point of intersection of tangents to the ellipse  at the points whose eccentric angles differ by  is   : Kaysons Education

# The Locus Of The Point Of Intersection Of Tangents To The Ellipse  at The Points Whose Eccentric Angles Differ By  is

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## Question

### Solution

Correct option is

be two points on the ellipse.

The equations of tangents to the ellipse at points P and Q are

and,

Let P(hk) be the point of intersection of (i) and (ii). Then,

Hence, the locus of (hk) is .

ALITER: The coordinates of the point of intersection of tangents at points having eccentric angles α and β are

Thus, if (hk) is the point of intersection of tangents at points whose eccentric angles differ by , then

Hence, the locus of (hk) is

.

#### SIMILAR QUESTIONS

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