Let the circle (x−1)2+(y−2)2=25 cuts a rectangular hyperbola with transverse axis along y=xat four points A,B,C and D having coordinates (xi,yi),i=1,2,3,4respectively. O being the center of the hyperbola. Now match the entries from the following two columns Column–I Column–IIAx1+x2+x3+x4 is equal toP2Bx12+x22+x32+x42 is equal toQ4COA2+OB2+OC2+OD2 is equal toR44Dy12+y22+y32+y42is equal toS56 T100

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Let the circle ${(x - 1)}^{2} + {(y - 2)}^{2} = 25$ cuts a rectangular hyperbola with transverse axis along $y = x$ at four points $A, B, C$ and $D$ having coordinates $(x_{i}, y_{i}), i = 1, 2, 3, 4$ respectively. O being the center of the hyperbola. Now match the entries from the following two columns

	Column–I		Column–II
A	$x_{1} + x_{2} + x_{3} + x_{4}$ is equal to	P	2
B	$x_{1}^{2} + x_{2}^{2} + x_{3}^{2} + x_{4}^{2}$ is equal to	Q	4
C	$O A^{2} + O B^{2} + O C^{2} + O D^{2}$ is equal to	R	44
D	$y_{1}^{2} + y_{2}^{2} + y_{3}^{2} + y_{4}^{2}$ is equal to	S	56
		T	100