The line 12x cosθ + 5y sinθ = 60 is tangent


The line $12 x \cos \theta+5 y \sin \theta=60$ is tangent to which of the following curves?

  1. $x^{2}+y^{2}=169$

  2. $144 x^{2}+25 y^{2}=3600$

  3. $25 x^{2}+12 y^{2}=3600$

  4. $x^{2}+y^{2}=60$

Correct Option: , 2


$12 x \cos \theta+5 y \sin \theta=60$

$\frac{x \cos \theta}{5}+\frac{y \sin \theta}{12}=1$

is tangent to $\frac{x^{2}}{25}+\frac{y^{2}}{144}=1$

$144 x^{2}+25 y^{2}=3600$

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