Mathematics · 2022
JEE Main · 28 June 2022, Shift 1 · Q25
A ray of light passing through the point P (2,3) reflects on the x -axis at point A and the reflected ray passes through the point Q(5,4). Let R be…
A ray of light passing through the point $\displaystyle \mathrm{P}(2,3)$ reflects on the $\displaystyle x$-axis at point A and the reflected ray passes through the point $\displaystyle Q(5,4)$. Let $\displaystyle R$ be the point that divides the line segment AQ internally into the ratio $\displaystyle 2: 1$. Let the co-ordinates of the foot of the perpendicular M from R on the bisector of the angle PAQ be ( $\displaystyle \alpha, \beta$ ). Then, the value of $\displaystyle 7 \alpha+3 \beta$ is equal to \_\_\_\_.
Official answer
31
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JEE Main 2022 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.