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Pair Of Tangents#!#Director Circle...

Pair Of Tangents#!#Director Circle

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x ^(2) +y ^(2) =a ^(2) is the standard equation of a circle centred at (0,0) and radius is a. Paramatric Equation to Standard Circle: Parametric Equation for the circle x^(2) +y ^(2) =a ^(2) is x =a cos theta, y =a sin theta. Director Circle: Director circle is the locus of point of intersection of two perpendicular tangents. Two points A (-30^(@)) and B (150^(@)) lies on circle x ^(2) +y ^(2) =9. The point (theta) which moves on a circle such that area of Delta PAB is maximum, is/are

The locus of the poles of tangents to the director circle of the ellipse x^(2)/a^(2) + y^(2)/b^(2) = 1 with respect to the ellipse x^(2)/a^(2) + y^(2)/b^(2) = 1 is

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