﻿ If the tangents are drawn to the ellipse x2 + 2y2 = 2, then the locus of the mid-point of the intercept made by the tangents between the coordinate axes is : Kaysons Education

# If The Tangents Are Drawn To The Ellipse x2 + 2y2 = 2, Then The Locus Of The Mid-point Of The Intercept Made By The Tangents Between The Coordinate Axes Is

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## Question

### Solution

Correct option is

We have,

The equation of any tangent to this ellipse in parametric form at point  is

This cuts the coordinate axes at points. Let P(hk) be the mid-point of intercept AB. Then,

Hence, the locus of (hk) is

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