﻿ The locus of the foot of the perpendiculars to any tangent of an ellipse from the foci is : Kaysons Education

# The Locus Of The Foot Of The Perpendiculars To Any Tangent Of An Ellipse From The Foci Is

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## Question

### Solution

Correct option is

Auxiliary circle

Tangent to ellipse is

… (1)

Slope of this line is m

This passes through (ae, 0). So equation is

my + x – ae = 0                                   … (2)

The locus of foot of ⊥ is obtained by eliminating m between (1) and (2)

x2 + y2 = a2 is locus  circle.

#### SIMILAR QUESTIONS

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, then CP2 + CD2 =

Q9

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Q10

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