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QJEEM24Ma38bb: JEE Main 2024 Mathematics - Class 11 JEEM24Ma38bb Solution: In a , suppose is the equation of the bisector of the angle and …

In a △ABC\triangle A B C , suppose y=xy=x is the equation of the bisector of the angle BB and the equation of the side ACA C is 2x−y=22 x-y=2 . If 2AB=BC2 A B=B C and the points AA and BB are respectively (4,6)(4,6) and (α,β)(\alpha, \beta) , then α+2β\alpha+2 \beta is equal to

Multiple Choice Options

  • A 42
  • B 39
  • C 48
  • D 45

Step-by-Step Verified Solution

JEE Main 2024 (Online) 29th January Morning Shift Mathematics - Straight Lines and Pair of Straight Lines Question 25 English Explanation

amp;AD:DC=1:2amp;4−α6−α=108amp;α=βamp;α=14 and β=14\begin{aligned}& A D: D C=1: 2 \\& \frac{4-\alpha}{6-\alpha}=\frac{10}{8} \\& \alpha=\beta \\& \alpha=14 \text { and } \beta=14\end{aligned}

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