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Area of triangle formed by the tangent at the point (a,b) to the circle x2+y2=r2 and the coordinate axis is?

Area of triangle formed by the tangent at the point (a,b) to the circle x2+y2=r2 and the coordinate axis is?

Grade:11

1 Answers

Nishant Vora IIT Patna
askIITians Faculty 2467 Points
6 years ago
Eqn of tangent will be given by T=0
ax+by=r2

hence the x intercept is r2/a
and y intercept is r2/b

so area of triangle is ½ r2 /a * r2/b = r^4 / 2ab

Thanks

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