question_answer

Statement I: Let \[\left( 2,\sqrt{2} \right)\] be any point on hyperbola\[{{x}^{2}}-{{y}^{2}}=2\], then product of distances of foci from P is equal to 6.

Statement II: If S and S' be the foci, C the centre and P be any point on a hyperbola\[{{x}^{2}}-{{y}^{2}}={{a}^{2}}\] then\[SP.S'P=C{{P}^{2}}\]

A)  Statement I is true, Statement II is true; Statement II is a correct explanation for Statement I.

B)  Statement I is true, Statement II is true; Statement II is not a correct explanation for Statement I.

C)  Statement I is true; Statement II is false.

D)  Statement I is false; Statement II is true.