Verified Solution • 2025–26 Session moderate

QJEEM24Maa98d: JEE Main 2024 Mathematics - Class 11 JEEM24Maa98d Solution: Let α , β , γ , δ ∈ Z and let A ( α , β ) , B ( 1 , 0 ) , C ( γ …

Let α,β,γ,δ∈Z and let A(α,β),B(1,0),C(γ,δ) and D(1,2) be the vertices of a parallelogram ABCD. If AB=10 and the points A and C lie on the line 3y=2x+1, then 2(α+β+γ+δ) is equal to

Multiple Choice Options

  • A 8
  • B 5
  • C 12
  • D 10

Step-by-Step Verified Solution

JEE Main 2024 (Online) 31st January Morning Shift Mathematics - Straight Lines and Pair of Straight Lines Question 26 English Explanation

Let E is mid point of diagonals

α+γ2=1+12

α+γ=2

& β+δ2=2+02

β+δ=2

2(α+β+γ+δ)=2(2+2)=8

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