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Circle question

2022 · 28 Jul · Shift 1 · Q28

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PYQ Library
JEE Main
Mathematics
Circle
2022 · 28 Jul · Shift 1 · Q28

Circle question

2022 · 28 Jul · Shift 1 · Q28

JEE MainMathematicsCircleMCQ+4 / −1

For

\mathrm{t} \in(0,2 \pi)

, if

\mathrm{ABC}

is an equilateral triangle with vertices

\mathrm{A}(\sin t,-\cos \mathrm{t}), \mathrm{B}(\operatorname{cost}, \sin t)

and

C(a, b)

such that its orthocentre lies on a circle with centre

\left(1, \frac{1}{3}\right)

, then

\left(a^{2}-b^{2}\right)

is equal to :

A
$\frac{8}{3}$
B
8
C
$\frac{77}{9}$
D
$\frac{80}{9}$

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