First slide

Hyperbola in conic sections

Question

$The tangents to the curve x y = 6 at P (2, 3) meets the coordinate axes at A and B . The ratio$ $in which P divides \bar{A B} is$

Easy

A

1 : 2
B

2 : 3
C

3 : 2
D

1 : 1

Solution

The point of contact of the tangent of the curve $x^{m} y^{n} = c$ divides the intercepted part of tangent line between the coordinate axis in the ratio n:m

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