InterviewSolution
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InterviewSolution
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If the distance of a given point `(alpha,beta)` from each of two straight lines `y = mx` through the origin is d, then `(alpha gamma- beta x)^(2)` is equal toA. `x^(2) +y^(2)`B. `d^(2)(x^(2)+y^(2))`C. `d^(2)`D. none of these |
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Answer» Correct Answer - B Any line through (0,0) is `y = mx` By given condition `|(beta-m alpha)/(sqrt(1+m^(2)))| =d` `(beta = m alpha)^(2) = d^(2) (1+m^(2))` `(beta = (y//x)alpha^(2)) =d^(2) (1+(y^(2))/(x^(2)))` `rArr ((alpha y -beta x)/(x^(2)))^(2) = d^(2) (1+y^(2)//x^(2))` `rArr (alpha y - beta x)^(2) = d^(2) (x^(2) +y^(2))` |
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