Let `x^2/a^2+y^2/b^2=1 and x^2/A^2-y^2/B^2=1` be confocal `(a > A and a> b)` having the foci at`s_1 and S_2,` respectively. If P is their point of intersection, then `S_1 P and S_2 P` are the roots of quadratic equationA. `x^(2)+2ax+(a^(2)-A^(2))=0`B. `x^(2)+2ax+(a^(2)-A^(2))=0`C. `x^(2)-2Ax+(a^(2)+A^(2))=0`D. `x^(2)-2ax+(a^(2)-A^(2))=0`

Let `x^2/a^2+y^2/b^2=1 and x^2/A^2-y^2/B^2=1` be confocal `(a > A and

1.	Let `x^2/a^2+y^2/b^2=1 and x^2/A^2-y^2/B^2=1` be confocal `(a > A and a> b)` having the foci at`s_1 and S_2,` respectively. If P is their point of intersection, then `S_1 P and S_2 P` are the roots of quadratic equationA. `x^(2)+2ax+(a^(2)-A^(2))=0`B. `x^(2)+2ax+(a^(2)-A^(2))=0`C. `x^(2)-2Ax+(a^(2)+A^(2))=0`D. `x^(2)-2ax+(a^(2)-A^(2))=0`
Answer» Correct Answer - D `S_(1)+S_(2)P=2a and S_(1)P-S_(2)P=2A` `S_(1)+=a+A and S_(2)P=(a-A)` Required quadratic equation is `x^(2)-2ax+(a^(2)-A^(2))=0`

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