﻿ From any point on the hyperbola  tangents are drawn to the hyperbola . The area cut-off by the chord of contact on the asymptotes is equal to : Kaysons Education

# From Any Point On The Hyperbola  tangents Are Drawn To The Hyperbola . The Area Cut-off By The Chord Of Contact On The Asymptotes Is Equal To

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## Question

### Solution

Correct option is

4ab

Let P(x1y1) be a point on the hyperbola

The chord of contact of tangents from P to the hyperbola

is

The equations of the asymptotes are

The points of intersection of (i) with the two asymptotes are given by

∴ Area of the triangle

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