Mathematics · 2022
JEE Main · 28 July 2022, Shift 1 · Q7
For t ∈(0,2 π), if ABC is an equilateral triangle with vertices A(sint, -cost), B(cost, sint) and C ( a, b ) such that its orthocentre lies on a…
For $\displaystyle \mathrm{t} \in(0,2 \pi)$, if ABC is an equilateral triangle with vertices A(sint, -cost), B(cost, sint) and $\displaystyle \mathrm{C}(\mathrm{a}, \mathrm{b})$ such that its orthocentre lies on a circle with centre $\displaystyle \left(1, \frac{1}{3}\right)$, then $\displaystyle \left(\mathrm{a}^2-\mathrm{b}^2\right)$ is equal to :
Official answer
(2)
$\displaystyle 8$
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JEE Main 2022 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.