InterviewSolution
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InterviewSolution
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Let the algebraic sum of the perpendicular distance from the points (2,0), (0,2), and (1, 1) to a variable straight line be zero. Then the linepasses through a fixed point whose coordinates are___ |
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Answer» Let the variable straight line be `ax+by+c=0`……`(i)` where, algebaric sum of perpendicular from `(2,0)`, `(0,2)` and `(1,1)` is zero. `:. (2a+0+c)/(sqrt(a^(2)+b^(2))+(0+2b+c)/(sqrt(a^(2)+b^(2))+(a+b+c)/(sqrt(a^(2)+b^(2))=0` `implies3a+3b+3c=0` `implies a+b+c=0`........`(ii)` From Eqs. `(i)` and `(ii)` `ax+by+c=0` always passes through a fixed point `(1,1)`. |
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