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AP EAMCET202023 Sep 2020Morning ShiftMathematicsStraight LinesActual

The equation of the line passing through the point of intersection of lines 2 x - y + 2 = 0 and x + y + 4 = 0 and the point 5 , - 2 is

Options

  1. Ay + 2 = 0
  2. By - 2 = 0
  3. C4 x - 3 y - 6 = 0
  4. Dx - y - 7 = 0

Correct answer

A. y + 2 = 0

Step-by-step solution

L 1 :   2 x - y + 2 = 0 L 2 :   x + y + 4 = 0 L 1 + λ L 2 = 0 ( 2 x - y + 2 ) + λ ( x + y + 4 ) = 0 It passes through ( 5 , - 2 ) ( 10 + 2 + 2 ) + λ 5 - 2 + 4 = 0 7 λ = - 14 λ = - 2 - 3 y - 6 = 0 y + 2 = 0

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