InterviewSolution
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InterviewSolution
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The line L given by `x/5 + y/b = 1` passes through the point (13,32).the line K is parallel to L and has the equation `x/c+y/3=1` then the distance between L and K isA. `17//sqrt(15)`B. `23//sqrt(17)`C. `23//sqrt(15)`D. `sqrt(17)` |
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Answer» Correct Answer - B Let `m_(1)` and `m_(2)` be the slopes of lines L and K respectively. Then, `m_(1)=-(b)/(5) and m_(2)=-(3)/(c)` It is given that the lines L and K are parallel. `m_(1)=m_(2)` `implies -(b)/(5)=-(3)/(c)implies bc=15` Line L passes through the point (13, 32). `therefore (13)/(5)=(32)/(b)=1implies b=-20` `therefore ` bc =15 `implies c=-(3)/(4)` Hence , the equations of lines L and K are `4x-y-20=0` and `4x-y+3=0` `therefore ` Distance between L and K `=(23)/(sqrt(16+1))=(23)/(sqrt(17))` |
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