Q115 / 200 · Manipal (MET) 2010 · Mathematics

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

A
0
B
1
Correct answer
C
2
D
infinite

Solution

Since, $3(3)^2+5(5)^2-32\gt0$. So, the given point lies outside the ellipse. Hence, two real tangents can be drawn from the point to the ellipse.

Hence, the correct answer is option: 'C'.

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