Consider a triangle {\ABC} having the vertices {\A}(1,2), {\B}(\alpha, \beta) and {\C}(\gamma, \delta) and angles \angle {\ABC}=\frac{\pi}{6} and \angle {\BAC}=\frac{2 \pi}{3}. If the points {\B} and {\C} lie on the line {\y}= {\x}+4, then \alpha^2+\gamma^2 is equal to . . . . . . . [4 Apr 2024 Shift 2]

JEE Main 4 Apr 2024 Shift 2 Solved Paper

Section: Mathematics

Question : 28 of 90

Marks: +1, -0

Consider a triangle ABC having the vertices A(1,2),B(α,β) and C(γ,δ) and angles ∠ABC=‌

and ∠BAC=‌

2π

. If the points B and C lie on the line y=x+4, then α2+γ2 is equal to .......

[4 Apr 2024 Shift 2]

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