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the area of the triangle formed by the tangent at the pt. (a,b) to the circle x2 +y2 =r2and the coordinate axis
Equation of tangent is
ax+by-r^2 = 0
In x-y intercept form
x/(r^2/a) + y/(r^2/b) = 1
x-intercept = r^2/b
y-intercept = r^2/b
Area of triangle = 1/2*r^2/b*r^2/b = r4/(2ab)