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QJEEM24Ma98e8: JEE Main 2024 Mathematics - Class 11 JEEM24Ma98e8 Solution: Let be a point on the ellipse . Let the line passing through…

Let P\mathrm{P} be a point on the ellipse x29+y24=1\frac{x^2}{9}+\frac{y^2}{4}=1 . Let the line passing through P\mathrm{P} and parallel to yy -axis meet the circle x2+y2=9x^2+y^2=9 at point Q\mathrm{Q} such that P\mathrm{P} and Q\mathrm{Q} are on the same side of the xx -axis. Then, the eccentricity of the locus of the point RR on PQP Q such that PR:RQ=4:3P R: R Q=4: 3 as PP moves on the ellipse, is :

Multiple Choice Options

  • A 1321\frac{13}{21}
  • B 13923\frac{\sqrt{139}}{23}
  • C 137\frac{\sqrt{13}}{7}
  • D 1119\frac{11}{19}

Step-by-Step Verified Solution

JEE Main 2024 (Online) 1st February Evening Shift Mathematics - Ellipse Question 16 English Explanation 1 JEE Main 2024 (Online) 1st February Evening Shift Mathematics - Ellipse Question 16 English Explanation 2
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