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.
Text Solution
Verified by Experts
In the figure, `OP =5` . `:. PQ=4`. In triangel OQP, `tan theta =(3)/(4)` `:. `Area of triangle `PQR=(1)/(2)PQxxPR sin 2 theta` `=(1)/(2) xx 4 xx 4xx(2 tan theta)/(1+tan^(2) theta )` `=8(2((3)/(2)))/(1+((3)/(4))^(2))=(192)/(25)` sq. unit
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