. Let two circles C1 and C2 intersect at X and Y. Prove that a
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. Let two circles C1 and C2 intersect at X and Y. Prove that apoint P is on the line XY if and only if the power of P withrespect to C1 is equal to the power of P with respect to C
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The power of a point theorem due to Jakob Steinerstates that for any line through A intersecting a circlec in points P and Q the power of thepoint with respect to the circle c is given up to a signby the productAPAQof the lengths of the segments from A to P andA to Q with a positive sign if A isoutside the circle and a negative sign otherwise if A ison the circle the product is zero In the limiting case when theline is
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