Tangents drawn from the point to the circle touch the circle at the points and . The circumcircle of the cuts the director circle of ellipse orthogonally. Then the value of is

Question ID - 153548 :-

Tangents drawn from the point to the circle touch the circle at the points and . The circumcircle of the cuts the director circle of ellipse orthogonally. Then the value of is

1 Answer

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Answer Key : (9) -

(9)

Center of the given circle is

The circumcircle of will circumscribe the quadrilateral also, hence one of the diameters must be

Equation of circumcircle of will be

(1)

Director circle of given ellipse will be

(2)

From (1) and (2), by applying condition of orthogonality, we get

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