Question:
The line $12 x \cos \theta+5 y \sin \theta=60$ is tangent to which of the following curves?
Correct Option: , 2
Solution:
$12 x \cos \theta+5 y \sin \theta=60$
$\frac{x \cos \theta}{5}+\frac{y \sin \theta}{12}=1$
is tangent to $\frac{x^{2}}{25}+\frac{y^{2}}{144}=1$
$144 x^{2}+25 y^{2}=3600$
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