QJEEAdv06Ma7c37: JEE Advanced 2006 Mathematics - Class 11 JEEAdv06Ma7c37 Solution: ABCD is a square of side length 2 units. C 1 is the circle…

Question

Verified Solution • 2025–26 Session moderate

ABCD is a square of side length 2 units.

C_{1}

is the circle touching all the sides of the square ABCD and

C_{2}

is the circumcircle of square ABCD. L is a fixed line in the same plane and R is a fixed point.

If P is any point of $C_{1}$ and Q is another point on $C_{2}$ , then

\frac{P A^{2} + P B^{2} + P C^{2} + P D^{2}}{Q A^{2} + Q B^{2} + Q C^{2} + Q D^{2}}

is equal to

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