WBJEE · Maths · Ellipse
The total number of tangents through the point \((3,5)\) that can be drawn to the ellipses \(3 x^2+5 y^2=32\) and \(25 x^2+9 y^2=450\) is
- A 0
- B 2
- C 3
- D 4
Answer & Solution
Correct Answer
(C) 3
Step-by-step Solution
Detailed explanation
Hints : \((3,5)\) lies outside the ellipse \(3 x^2+5 y^2=32\) and on the ellipse \(25 x^2+9 y^2=450\). Therefore there will be 2 tangents for the first ellipse and one tangent for the second ellipse.
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