Question:
The number of real tangents through \( (3, 5) \) that can be drawn to the ellipses \( 3x^2 + 5y^2 = 32 \) and \( 25x^2 + 9y^2 = 450 \) is:
The number of real tangents through \( (3, 5) \) that can be drawn to the ellipses \( 3x^2 + 5y^2 = 32 \) and \( 25x^2 + 9y^2 = 450 \) is:
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To find the number of tangents from a point to an ellipse, use the equation of the ellipse and calculate the possible number of tangents.
Updated On: Jan 6, 2026
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The Correct Option is C
Solution and Explanation
Step 1: Equation for tangents.
Use the standard equation for tangents to ellipses and solve for the number of real tangents passing through the point \( (3, 5) \).
Step 2: Conclusion. Thus, the number of real tangents is 3.
Step 2: Conclusion. Thus, the number of real tangents is 3.
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