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The length of the perpendicular from the...

The length of the perpendicular from the origin on the line `(x sin alpha)/(b ) - (y cos alpha)/(a )-1=0` is

A

`(|ab|)/(sqrt(a^(2)cos ^(2)alpha-betasin ^(2) alpha))`

B

`(|ab|)/(sqrt(a^(2)cos ^(2)alpha+betasin ^(2) alpha))`

C

`(|ab|)/(sqrt(a^(2)sin ^(2)alpha-betacos ^(2) alpha))`

D

`(|ab|)/(sqrt(a^(2)sin ^(2)alpha+betacos ^(2) alpha))`

Text Solution

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The correct Answer is:
D
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