The line 12 x , +5 y , =60 is tangent to which of the following c… - Vidyadip

MCQ

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

A
$x^{2}+y^{2}=169$
✓
$144 x^{2}+25 y^{2}=3600$
C
$25 x^{2}+12 y^{2}=3600$
D
$x^{2}+y^{2}=60$

✓

Answer

Correct option: B.

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

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

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

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

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

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