Let P(a₁, b₁) and Q(a₂, b₂) be two distinct points on a circle with center C(√(2), √(3)). Let O be the origin and OC be perpendicular to both CP and CQ. If the area of the triangle OCP is (√(35))/2, then a₁²+a₂²+b₁²+b₂² is equal to:

Coordinate Geometry: JEE Main 2023 Mathematics question

JEE Main 2023 · 30 Jan, Evening shift · Q30

JEE Main 202330 Jan, Evening shiftMathematicsMediumCoordinate Geometry478× since 2002

Let

P\left(a_1, b_1\right)

and

Q\left(a_2, b_2\right)

be two distinct points on a circle with center

C(\sqrt{2}, \sqrt{3})

. Let

\mathrm{O}

be the origin and

\mathrm{OC}

be perpendicular to both

\mathrm{CP}

and

\mathrm{CQ}

. If the area of the triangle

\mathrm{OCP}

\frac{\sqrt{35}}{2}

, then

a_1^2+a_2^2+b_1^2+b_2^2

is equal to :

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