JEE Math Practice Question
The equations of the sides $$\mathrm{AB}, \mathrm{BC}$$ and CA of a triangle ABC are $$2 x+y=0, x+\mathrm{p} y=39$$ and $$x-y=3$$ respectively and $$\mathrm{P}(2,3)$$ is its circumcentre. Then which of the following is NOT true?
- A.$$(\mathrm{AC})^{2}=9 \mathrm{p}$$
- B.$$(\mathrm{AC})^{2}+\mathrm{p}^{2}=136$$
- C.$$32<\operatorname{area}\,(\Delta \mathrm{ABC})<36$$
- D.$$34<\operatorname{area}\,(\triangle \mathrm{ABC})<38$$
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