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A variable straight line passes through the intersection of x+2y=1,2x-y=1 and meets co-ordinate axes in A and B. The locus of mid-point of AB is : |
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Answer» `2x-3y=4` ![]() Let `A(3lambda+7,2lambda+7,lambda+3)` `B(2k+1,4k-1,3k-1)` `because` DIRECTION ratios of L are 2,2,1. `implies(3lambda-2k+6)/(2)=(2lambda-4k+8)/(2)=(lambda-3k+4)/(1)` `implieslambda=2" and "k=0` `thereforeA(13,11,5),B(1,-1,-1)` `implies AB = 18` |
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