Number of real tangents that can be drawn to ellipse 3x^2 + 5y^2 = 32 passing through (3, 5) is

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10-2. Parabola, Ellipse, Hyperbola

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The number of real tangents that can be drawn to the ellipse $3x^2 + 5y^2 = 32$ passing through $(3, 5)$ is

A

$0$

B

$1$

C

$2$

D

infinite

Solution

Since $3(3)^2 + 5(5)^2 – 32 > 0$ . So the given point lies outside the ellipse. Hence, two real tangents can be drawn from the point to the ellipse

Standard 11

Mathematics

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