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Circle question

2023 · 30 Jan · Shift 2 · Q40

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PYQ Library
JEE Main
Mathematics
Circle
2023 · 30 Jan · Shift 2 · Q40

Circle question

2023 · 30 Jan · Shift 2 · Q40

JEE MainMathematicsCircleNumerical+4 / −1

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}

is

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

, then

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

is equal to :

Numerical answer

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