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Line 3x + 2y =24 meets x-axis at A and y- axis at B and perpending bisector of AB meets the line passing through (0,1) and parallel to x-axis at C. Area of ` Delta ABC` isA. 182 sq unitsB. 91 sq unitsC. 48 sq unitsD. none of these |
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Answer» Correct Answer - C `3x+ 2y =24` ` (x)/(8)+(y)/(12)=1` ` A(8,0),b(0,12)` Now perpendicular bisector of AB : 2X - 3Y = `lamda` passes through (4,6) `implies lamda =-10` , ` implies` equation `implies 2x - 3y + 10 =0` `Delta=(1)/(2)|{:(8,0,1),(0,12,1),((-13)/(2),-1,1):}|=91` |
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