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Straight Lines and Pair of Straight Lines question

2022 · 25 Jul · Shift 2 · Q30
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  5. /2022 · 25 Jul · Shift 2 · Q30

Straight Lines and Pair of Straight Lines question

2022 · 25 Jul · Shift 2 · Q30

JEE MainMathematicsStraight Lines and Pair of Straight LinesMCQ+4 / −1
Let the point P(α,β)P(\alpha, \beta)P(α,β) be at a unit distance from each of the two lines L1:3x−4y+12=0L_{1}: 3 x-4 y+12=0L1​:3x−4y+12=0, and L2:8x+6y+11=0L_{2}: 8 x+6 y+11=0L2​:8x+6y+11=0. If PPP lies below L1L_{1}L1​ and above L2{ }{L_{2}}L2​, then 100(α+β)100(\alpha+\beta)100(α+β) is equal to :
  1. A
    −-− 14
  2. B
    42
  3. C
    −-− 22
  4. D
    14
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