1.

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

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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