The length of perpendicular from the point $(a\cos\alpha,\ a\sin\alpha)$ upon the straight line $y = x an\alpha + c,c 0$, is

Question

The length of perpendicular from the point $(a\cos\alpha,\ a\sin\alpha)$ upon the straight line $y = x	an\alpha + c,c > 0$, is

Dr. Abubacker · Accepted Answer

(c)
The length of perpendicular from point $(a\cos\alpha,\ a\sin\alpha)$ to the line
$x	an\alpha - y + c = 0\ or\ x\sin\alpha - y\cos\alpha + c\cos\alpha = 0$
$= \frac{a\cos\alpha\sin\alpha - a\sin\alpha\cos{\alpha + c\cos{\alpha = 0}}}{\sqrt{\sin^{2}\alpha + \cos^{2}\alpha}}$
$= c\cos\alpha\$

Q. The length of perpendicular from the point $(a\cos\alpha,\ a\sin\alpha)$ upon the straight line $y = x\tan\alpha + c,c > 0$, is

Explanation

Reviewed by Dr. Abubacker

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