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MHT CET2019Evening ShiftMathematicsStraight LinesActual

The y-intercept of the line passing through A(6, 1) and perpendicular to the line x- 2y =4 is …

Options

  1. A5
  2. B13
  3. C-2
  4. D26

Correct answer

B. 13

Step-by-step solution

Slope of the given line, x - 2 y = 4 is 1 2 Equation of a line passing through A(6, 1) and perpendicular to given line is y - 1 = - 2 x - 6 ⇒ y - 1 = - 2 x + 12 ⇒ 2 x + y = 13 ⇒ x 13 2 + y 13 = 1 ∴ y-intercept of the obtained line is 13.

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