Let alpha, beta, gamma, delta ∈ ℤ and let A(α, β), B(1, 0), C(γ,… | JEE Main 2024 Mathematics PYQ

MCQMediumJEE Main 2024 · 31 January, Shift 1Basics: Distance, Section Formula, Locus

Let alpha, beta, gamma, delta $\in \mathbb{Z}$ and let $A(\alpha, \beta)$ , $B(1, 0)$ , $C(\gamma, \delta)$ , and $D(1, 2)$ be the vertices of a parallelogram ABCD. If $AB = \sqrt{10}$ and the points A and C lie on the line $3y = 2x + 1$ , then $2(\alpha + \beta + \gamma + \delta)$ is equal to:

A
$10$
B
$5$
C
$12$
D
$8$

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