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CGP EDU Academic Team
Published on: August 14, 2026
The number of real tangents that can be drawn on the ellipse 3x 2 + 5y 2 = 32 and 25x 2 + 9y 2 = 450 passing through (3, 5) is:
Text Solution
Verified by ExpertsThe correct answer is:
C
Since 3 x 3 2 + 5 x 5 2 - 32 > 0, the point (3, 5) lies outside the ellipse 3x 2 + 5y 2 = 32.
Also, 25 x 3 2 + 0 x 5 2 - 450 = 0, ∴ ∴ the point (3, 5) lies on the ellipse 25x 2 + 9y 2 = 450. So the required number of tangents is 3.
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