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Straight Lines and Pair of Straight Lines question

2024 · 31 Jan · Shift 1 · Q34

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Mathematics
Straight Lines and Pair of Straight Lines
2024 · 31 Jan · Shift 1 · Q34

Straight Lines and Pair of Straight Lines question

2024 · 31 Jan · Shift 1 · Q34

JEE MainMathematicsStraight Lines and Pair of Straight LinesMCQ+4 / −1

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

\mathrm{ABCD}

. If

A B=\sqrt{10}

and the points

\mathrm{A}

and

\mathrm{C}

lie on the line

3 y=2 x+1

, then

2(\alpha+\beta+\gamma+\delta)

is equal to

A
8
B
5
C
12
D
10

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