﻿ The locus of mid-point of the portions of the tangents to the ellipse  included between the axes is the curve  : Kaysons Education

# The Locus Of Mid-point Of The Portions Of The Tangents To The Ellipse  included Between The Axes Is The Curve

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## Question

### Solution

Correct option is

Equation of tangent to ellipse  is

y = mx + c           … (1)  where

c2 = a2m2 + b2     … (2)

by (1), – mx + y = c  the tangent meets the x-axis and y-axis at

Mid-point of AB is (x1y1

On multiplying          … (3)

Put (3) in (2)    is locus of (x, y).

#### SIMILAR QUESTIONS

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