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The total number of tangents through the point (3, 5) that can be drawn to the ellipses 3x2 + 5y2 = 32 and 25x2 + 9y2 = 450 is (A) 0 (B) 2 (C) 3 (D) 4 Ans :

The total number of tangents through the point (3, 5) that can be drawn to the ellipses 3x2 + 5y2 = 32 and 25x2 + 9y2 = 450 is
(A) 0 (B) 2 (C) 3 (D) 4
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2 Answers

Arun
25750 Points
3 years ago
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.
Vikas TU
14149 Points
3 years ago
Putting (3,5) in the equation of ellipse, we get S−1>0 and S2 =0 so that (3,5) lies outside S1
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  and hence two tangents can be drawn through the point (3,5). The point (3,5) lies on S 2 =0 and only one tangent can be drawn.
Thus, the total number of tangents passing through (3,5) to the ellipse is 2+1=3

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