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AB is a chord of the circle \mathrm{x^2+y^2-2 x+4 y-20=0}. If the tangents at A and B are inclined at \mathrm{120^{\circ},} then AB is

Option: 1

2 units
 


Option: 2

4 units


Option: 3

\sqrt{5} \, \, units
 


Option: 4

5 units


Answers (1)

best_answer

Let C be the centre and T be the point of intersection of the tangents.

\mathrm{ \angle A T C=60^{\circ}, \angle A C T=30^{\circ}}

\mathrm{A B=2 C A \sin 30^{\circ}=5} units.

Posted by

Suraj Bhandari

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