Mathematics · 2021
JEE Main · 16 March 2021, Shift 2 · Q75
Let A (-1,1), B (3,4) and C (2,0) be given three points. A line y= m x, m >0, intersects lines AC and BC at point P and Q respectively. Let A_1 and…
Let $\displaystyle \mathrm{A}(-1,1), \mathrm{B}(3,4)$ and $\displaystyle \mathrm{C}(2,0)$ be given three points. A line $\displaystyle y=\mathrm{m} x, \mathrm{~m}>0$, intersects lines AC and BC at point P and Q respectively. Let $\displaystyle \mathrm{A}_1$ and $\displaystyle \mathrm{A}_2$ be the areas of $\displaystyle \triangle \mathrm{ABC}$ and $\displaystyle \triangle \mathrm{PQC}$ respectively, such that $\displaystyle \mathrm{A}_1=3 \mathrm{~A}_2$, then the value of m is equal to :
Official answer
(1)
$\displaystyle 1$
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JEE Main 2021 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.