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Let P(a1,b1) and Q(a(2),b(2)) be two dis...

Let `P(a_1,b_1)` and `Q(a_(2),b_(2))` be two distinct points on a circle with center `C(sqrt(2),sqrt(3))`.Let `O` be the origin and `OC` be perpendicular to both `CP` and `CQ`.If the area of the triangle `OCP` is `(sqrt(35))/(2)`,then `a_(1)^(2)+a_(2)^(2)+b_(1)^(2)+b_(2)^(2)` is equal to

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