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Tangents are drawn from the point (h,k) to ^circle `x^2+y^2 =a^2`; Prove that the area of the triangle formed by them and the straight line joining their point of contact is `(a (h^2+k^2-a^2)^(3/2))/ (h^2 + k^2)`

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A DAS GUPTA-Circles-EXERCISE
  1. If the chord of contact of the tangents from a point on the circle x^2...

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  2. If the pole of a straight line with respect to the circle x^(2)+y^(2)=...

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  3. Tangents are drawn from the point (h,k) to ^circle x^2+y^2 =a^2; Prove...

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  4. Find the equation of the circle which has for its diameter the chord o...

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  5. If y=mx be the equation of a chord of the circle prove that the circle...

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  6. Prove that the circle x^2 + y^2-6x-4y+9=0 bisects the circumference of...

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  7. The equation of the circle on the common chord of the circles (x-a)^(2...

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  8. Find the equation of the circle passing through the intersection of th...

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  9. Find the equation of the circle passing through the point of intersect...

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  10. Find the equation of the circle whose diameter is the common chord of ...

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  11. The line Ax+By+=0 cuts the circle by x^2+y^2+Ax+By+C=0at P and Q. The ...

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  12. Prove that the equation x^(2)+y^(2)-2x-2ay-8=0, a in R represents the...

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  13. The common chord of the circle x^2+y^2+6x+8y-7=0 and a circle passing ...

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  14. Consider a family of circles passing through two fixed points A (3,7) ...

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  15. If the circle C1: x^2 + y^2 = 16 intersects another circle C2 of radiu...

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  16. The equation of the circle passing through the origin & cutting the ci...

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  17. The equation of the circle which passes through the origin, center lie...

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  18. Prove that the two circles each of which passes through the point (0, ...

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  19. If the equations of two circles, whose radii are r and R respectively,...

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  20. The centre of the circle S=0 lies on the line 2x-2y+9=0 and it cuts th...

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