A) \[c\cos \alpha \]
B) \[c{{\sin }^{2}}\alpha \]
C) \[c{{\sec }^{2}}\alpha \]
D) \[c{{\cos }^{2}}\alpha \]
Correct Answer: A
Solution :
Here, equation of line is\[y=x\tan \alpha +c\], \[c>0\] Length of the perpendicular drawn on line from point \[(a\cos \alpha ,\,a\sin \alpha )\] \[p=\frac{-a\sin \alpha +a\cos \alpha \tan \alpha +c}{\sqrt{1+{{\tan }^{2}}\alpha }}\]; \[p=\frac{c}{\sec \alpha }=c\,\cos \alpha \].
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