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Straight Lines and Pair of Straight Lines question

2025 · 22 Jan · Shift 1 · Q30
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  5. /2025 · 22 Jan · Shift 1 · Q30

Straight Lines and Pair of Straight Lines question

2025 · 22 Jan · Shift 1 · Q30

JEE MainMathematicsStraight Lines and Pair of Straight LinesMCQ+4 / −1
Let the triangle PQR be the image of the triangle with vertices (1,3),(3,1)(1,3),(3,1)(1,3),(3,1) and (2,4)(2,4)(2,4) in the line x+2y=2x+2 y=2x+2y=2. If the centroid of △PQR\triangle \mathrm{PQR}△PQR is the point (α,β)(\alpha, \beta)(α,β), then 15(α−β)15(\alpha-\beta)15(α−β) is equal to :
  1. A
    21
  2. B
    19
  3. C
    22
  4. D
    24
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