InterviewSolution
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InterviewSolution
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If the coordinates of two points `A`and `B`are (3, 4)and `(5,-2)`, respectively, find the coordinates of any point `P`if `P A=P Bdot`Area of ` P A B`is 10 sq.units.A. (2,7)B. (7,2)C. (1,0)D. (0,1) |
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Answer» Correct Answer - B Let the coodinates of P be (x,y). Then, `PA=PB` `rArr PA^(2)=PB^(2)` `rArr (x-3)^(2)+(y-4)^(2)=(x-5)^(2)+(y+2)^(2)` `x-3y-1=0" "....(i)` Now, Area of `DeltaPAB=10` `rArr(1)/(2)|{:(x,y,1),(2,4,1),(5,-2,1):}|=+-10` `rArr 6x+2y-26=+-20 " "....(ii)` Solving (i) with, equations in (ii), we obtain `x=7,y=2 and x=1,y=0` But, P does lie on any of the coordinarte axes. Thus, the coordinates of P are (7,2) |
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