The equations of the sides \( A B, B C \) and \( C A \) of a triangle \( A B C \) are \( 2 x+y=0...

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The equations of the sides \( A B, B C \) and \( C A \) of a triangle \( A B C \) are \( 2 x+y=0, x+p y=39 \) and \( x-y=3 \) respectively and \( P(2,3) \) is its circumcentre. Then which of the following is NOT true?
(a) \( (A C)^{2}=9 p \)
(b) \( (A C)^{2}+p^{2}=136 \)
(c) \( 32\operatorname{area}(\triangle A B C)36 \)
(d) \( 34 \) area \( (\triangle A B C)38 \)
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