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Find the area of the triangle formed by ...

Find the area of the triangle formed by the tangents from the point (4, 3) to the circle `x^2+y^2=9` and the line joining their points of contact.

A

`26`sq units

B

`25` sq units

C

`192` sq units

D

`(192)/(25)`sq units

Text Solution

Verified by Experts

The correct Answer is:
D
Area of triangle formed by the tangents from (4, 3) to the circle `x^(2)+y^(2) = a^(2)` and their chord of contact
`=a((h^(2)+k^(2)-a^(2))^(3//2))/(4^(2)+3^(2))=(3(16+9-9)^(3//2))/(25)`
`=(3(64))/(25)=(192)/(25)`sq units.
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