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99 Percentile Qs Bank for JEE MainMathematicsStraight Lines

If (-2, 6) is the image of the point (4, 2) with respect to the line L = 0 , then L is equal to

Options

  1. A6x - 4y - 7 = 0
  2. B2x + 3y - 5 = 0
  3. C3x - 2y + 5 = 0
  4. D3x - 2y + 10 = 0

Correct answer

C. 3x - 2y + 5 = 0

Step-by-step solution

Slope of the line C D = 6-2 -2-4 = 4 -6 =- 2 3 Slope of the line A B=- 1 - 2 3 = 3 2 Mid-point of C D is O ( 4-2 2 , 2+6 2 ) =O(1,4) Equation of line A B is, aligned y-4 & = 3 2 (x-1) 2 y-8 & =3 x-3 3 x-2 y+5 & =0 aligned

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