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Straight Lines and Pair of Straight Lines question

2024 · 31 Jan · Shift 2 · Q54
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Straight Lines and Pair of Straight Lines question

2024 · 31 Jan · Shift 2 · Q54

JEE MainMathematicsStraight Lines and Pair of Straight LinesNumerical+4 / −1
Let A(−2,−1),B(1,0),C(α,β)A(-2,-1), B(1,0), C(\alpha, \beta)A(−2,−1),B(1,0),C(α,β) and D(γ,δ)D(\gamma, \delta)D(γ,δ) be the vertices of a parallelogram ABCDA B C DABCD. If the point CCC lies on 2x−y=52 x-y=52x−y=5 and the point DDD lies on 3x−2y=63 x-2 y=63x−2y=6, then the value of ∣α+β+γ+δ∣|\alpha+\beta+\gamma+\delta|∣α+β+γ+δ∣ is equal to ‾\underline{\hspace{2cm}}​.
Numerical answer
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