MathematicsMedium128×since 2002Q5540The equations of the sides AB,BC\mathrm{AB}, \mathrm{BC}AB,BC and CA of a triangle ABC are 2x+y=0,x+py=392 x+y=0, x+\mathrm{p} y=392x+y=0,x+py=39 and x−y=3x-y=3x−y=3 respectively and P(2,3)\mathrm{P}(2,3)P(2,3) is its circumcentre. Then which of the following is NOT true?A(AC)2=9p(\mathrm{AC})^{2}=9 \mathrm{p}(AC)2=9pB(AC)2+p2=136(\mathrm{AC})^{2}+\mathrm{p}^{2}=136(AC)2+p2=136C32<area (ΔABC)<3632<\operatorname{area}\,(\Delta \mathrm{ABC})<3632<area(ΔABC)<36D34<area (△ABC)<3834<\operatorname{area}\,(\triangle \mathrm{ABC})<3834<area(△ABC)<38Check answerSkip