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Question

Number of points on the ellipse x250+y220=1 from which prependicular of tangents are drawn to the ellipse x216+y29=1 is

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Solution

For the ellipse x216+y29=1, equation of director circle is x2+y2=25.

The director circle will cut the ellipse x250+y220=1 at 4 points.
Hence, number of points =4

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