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JEE Main20206 Sep 2020Evening ShiftMathematicsStraight LinesActual

Let L denote the line in the x y -plane with x and y intercepts as 3 and 1 respectively. Then the image of the point - 1 , - 4 in the line is :

Options

  1. A11 5 ,   28 5
  2. B29 5 ,   8 5
  3. C8 5 ,   29 5
  4. D29 5 ,   11 5

Correct answer

A. 11 5 ,   28 5

Step-by-step solution

Equation of line is x 3 + y 1 = 1 ⇒ x + 3 y - 3 = 0 if image is x 1 , y 1 Then, x 1 + 1 1 = y 1 + 4 3 = - 2 - 1 - 12 - 3 10 x 1 + 1 = y 1 + 4 3 = 16 5 ⇒ x 1 = 11 5 , y 1 = 28 5

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