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Through the point (3,5), the number of tangents drawn to the ellipses 3x^2 + 5y^2 = 32 and 25x^2 + 9y^2 = 450 is ...............

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Through the point (3,5), the number of tangents drawn to the ellipses 3x2 + 5y2 = 32 and 25x2 + 9y2 = 450  is ............... 

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Let

Therefore, (3, 5) is an external point to S = 0 and (3, 5) lies on S' = 0. Hence, the number of tangents drawn to the ellipses through (3, 5) is 3.

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