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The area of the triangle formed by the tangent at the point (a, b) to the circle `x^(2)+y^(2)=r^(2)` and the coordinate axes, isA. `(r^(4))/(2 ab)`B. `(r^(4))/(2|ab|)`C. `(r^(4))/(ab)`D. `(r^(4))/(|ab|)` |
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Answer» Correct Answer - B The equation of the tangent at (a, b) to the circle `x^(2)+y^(2)="is" ax+by=r^(2)`. This meets the x any y-axes at `A(r^(2)//a, 0)` and `B (0, r^(2)//b)` `:. "Area of " DeltaOAB=(1)/(2)OAxxOB=(1)/(2)|(r^(2))/(a)||(r^(2))/(b)|=(r^(4))/(2|a||b|)` |
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