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NTA Abhyas JEE Main2020MathematicsStraight LinesPractice

The equation of the image of line y = x with respect to the line mirror 2 x - y = 1 is

Options

  1. Ay = 7 x - 5
  2. By = 7 x - 6
  3. Cy = 3 x - 7
  4. Dy = 6 x - 5

Correct answer

B. y = 7 x - 6

Step-by-step solution

Image of 0,0 w.r.t L lies on L 1 Image of 0,0 w.r.t L is x - 0 2 = y - 0 - 1 = - 2 - 1 5 P ' ≡ x , y = 4 5 , - 2 5 Equation of L ' 1 which passes through 1,1 and 4 5 , - 2 5 is y - 1 = - 2 5 - 1 4 5 - 1 x - 1 = - 7 - 1 x - 1 y = 7 x - 6

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