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1

IIT-JEE 1981

Subjective
Let A be the centre of the circle $${x^2}\, + \,{y^2}\, - \,2x\,\, - 4y\, - 20 = 0\,$$. Suppose that the tangents at the points B (1, 7) and D (4. - 2) on the circle meet at the point C. Find the area of the quadrilateral ABCD.

Answer

72 sq units
2

IIT-JEE 1978

Subjective
Find the equation of the circle whose radius is 5 and which touches the circle $${x^2}\, + \,{y^2}\, - \,2x\,\, - 4y\, - 20 = 0\,$$ at the point (5, 5).

Answer

$${x^2}\, + \,{y^2}\, - \,18x\,\, - 16y\, + 120 = 0\,$$

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