Mathematics · 2022
JEE Main · 30 June 2022, Shift 1 · Q13
Let α_1, α_2(α_1<α_2) be the values of α for the points (α,-3),(2,0) and (1, α) to be collinear. Then the equation of the line, passing through (α_1,…
Let $\displaystyle \alpha_1, \alpha_2\left(\alpha_1<\alpha_2\right)$ be the values of $\displaystyle \alpha$ for the points $\displaystyle (\alpha,-3),(2,0)$ and $\displaystyle (1, \alpha)$ to be collinear.
Then the equation of the line, passing through $\displaystyle \left(\alpha_1, \alpha_2\right)$ and making an angle of $\displaystyle \frac{\pi}{3}$ with the positive direction of the $\displaystyle x$-axis, is :
Official answer
(2)
$\displaystyle \sqrt{3} x-y+\sqrt{3}+3=0$
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JEE Main 2022 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.