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A straight line moves so that the sum of the reciprocals of its intercepts on two perpendicular lines is constant then the line passes through-A. A fixed piontB. A variable pointC. OriginD. None of these |
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Answer» Correct Answer - A Let line is `(x)/(a) +(y)/(b) =1` and `(1)/(a) +(1)/(b) =lambda rArr (1)/(lambdaa)+(1)/(lambdab) =1` `(x)/(a) +(y)/(b) =(1)/(lambdaa) +(1)/(lambdab)` `(1)/(a)(x-(1)/(lambda))+(1)/(b)(y-(1)/(lambda))=0` Lines always passes through `((1)/(lambda),(1)/(lambda))` |
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