Mathematics · 2013
JEE Main · 22 April 2013, Shift 1 · Q80
If two vertices of an equilateral triangle are A (- a, 0) and B (a, 0), a > 0, and the third vertex C lies above x -axis then the equation of the…
If two vertices of an equilateral triangle are A (- a, $\displaystyle 0$) and B (a, $\displaystyle 0$), a > $\displaystyle 0$, and the third vertex C lies above $\displaystyle x$-axis then the equation of the circumcircle of $\displaystyle \Delta \mathrm{ABC}$ is :
Official answer
(1)
$\displaystyle 3 x^2+3 y^2-2 \sqrt{3} a y=3 a^2$
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JEE Main 2013 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.