Match the items of List I with items of List II and choose the correct option.

	List –I		List –II
(I)	Q is image of  P(2, 4) in bisector line L of 1st  quadrant, S is circle with centre Q and radius 4. A circle M is drawn such that it touch line L at (1, 1) and its radical axis with S passes through P then its radius is	(P)	$12\sqrt{2}$
(II)	Tangents are drawn from P(K, 0) on  $x^2+y^2=50$, meeting y –axis at Q & R possible value of K for which area of  $\Delta PQR$  is minimum.	(Q)	$\sqrt{50}$
(III)	If  length of major axis of ellipse  $2x^2+xy+y^2=5$, is  2k and $k^2$ = $\frac{10}{a-b}$, then  $a^{2}b$  is : (a is integer)	(R)	$\frac{\sqrt{162}}{2}$
(IV)	Centre of a circle passing through foci of  $\frac{x^2}{25}-\frac{y^2}{24}$=1 and through the point of intersection of tangents at vertices with tangent at point  $(5\sqrt{2},2\sqrt{6})$  is (h, k) then |2. $\sqrt{3}$k| equal	(S)	$10$
		(T)	$\sqrt{162}$