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Straight Lines and Pair of Straight Lines question

2022 · 24 Jun · Shift 2 · Q30
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  5. /2022 · 24 Jun · Shift 2 · Q30

Straight Lines and Pair of Straight Lines question

2022 · 24 Jun · Shift 2 · Q30

JEE MainMathematicsStraight Lines and Pair of Straight LinesMCQ+4 / −1
Let the area of the triangle with vertices A(1, α\alphaα), B(α\alphaα, 0) and C(0, α\alphaα) be 4 sq. units. If the points (α\alphaα, −α-\alpha−α), (−α-\alpha−α, α\alphaα) and (α\alphaα 2, β\betaβ) are collinear, then β\betaβ is equal to :
  1. A
    64
  2. B
    −-− 8
  3. C
    −-− 64
  4. D
    512
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