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Straight Lines and Pair of Straight Lines question

2024 · 29 Jan · Shift 1 · Q42
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  5. /2024 · 29 Jan · Shift 1 · Q42

Straight Lines and Pair of Straight Lines question

2024 · 29 Jan · Shift 1 · Q42

JEE MainMathematicsStraight Lines and Pair of Straight LinesMCQ+4 / −1
In a △ABC\triangle A B C△ABC, suppose y=xy=xy=x is the equation of the bisector of the angle BBB and the equation of the side ACA CAC is 2x−y=22 x-y=22x−y=2. If 2AB=BC2 A B=B C2AB=BC and the points AAA and BBB are respectively (4,6)(4,6)(4,6) and (α,β)(\alpha, \beta)(α,β), then α+2β\alpha+2 \betaα+2β is equal to
  1. A
    42
  2. B
    39
  3. C
    48
  4. D
    45
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