InterviewSolution
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InterviewSolution
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The line `3x+2y=24`meets the y-axis at `A`and the x-axis at `Bdot`The perpendicular bisector of `A B`meets the line through `(0,-1)`parallel to the x-axis at `Cdot`If the area of triangle `A B C`is `A`, then the value of `A/(13)`is________ |
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Answer» Correct Answer - 91 Lines 3x+2y = 24 meets the axes at B(8,0) and A(0, 12). The midpoint of AB is D(4, 6). The equation of perpendicular bisector of AB is `2x-3y+10=0 " " (1)` Now, the line through (0, -1) and parallel to the x-axis is y=-1. The coordinates of C where line (1) meets y =-1 are (-13/2, -1). Now, the area of triangle ABC, `Delta = (1)/(2)||{:(0, 12, 1),(8, 0, 1),(-13//2, -1, 1):}||` `= (1)/(2)|[0-12(8+(13)/(2))+1(-8)]| = (1)/(2) |[-6(29)-8]| = 91` |
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