JEE Main 2024 — Straight Lines Question with Solution
JEE Main 2024 (06 Apr Shift 2)
Question
If the locus of the point, whose distances from the point and are in the ratio , is , then the value of is equal to :
Choose an option
Show full solutionCorrect option: A
Correct answer
A37
Step-by-step explanation
let
$\begin{aligned}
& \frac{(x-2)^2+(y-1)^2}{(x-1)^2+(y-3)^2}=\frac{25}{16} \\
& 9 x^2+9 y^2+14 x-118 y+170=0 \\
& a^2+2 b+3 c+4 d+e \\
& =81+18+0+56-118 \\
& =155-118 \\
& =37
\end{aligned}$
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This is a previous-year question from JEE Main 2024, covering the Straight Lines chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.