InterviewSolution
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InterviewSolution
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If p be the length of the perpendicular from the origin on the straight line `x+2by =2p`.then what is the value of b?A. `1/p`B. `p`C. `1/2`D. `sqrt(3)/2` |
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Answer» Correct Answer - D Length of perpendicular from the origin on the straight line `x+2by-2p=0` is `|(0+2bxx0-2p)/sqrt(1^(2)+(2b)^(2))|=p` or `p=|(-2p)/sqrt(1^(2)+4b^(2))|` or `p^(2)=(4p^(2))/(1+4b^(2))` `4/(1+4b^(2))=1` `implies 1+4b^(2)=4 or 4b^(2)=3` `implies b^(2)=3/4 implies b = pm sqrt(3)/2 implies b = sqrt(3)/2` matches with the given option. |
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