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JEE Main201912 Jan 2019Morning ShiftMathematicsStraight LinesActual

If the straight line 2 x - 3 y + 17 = 0 is perpendicular to the line passing through the points 7 , 17 and 15 , β , then β equals :

Options

  1. A- 5
  2. B35 3
  3. C5
  4. D- 35 3

Correct answer

C. 5

Step-by-step solution

Slope of line 2 x - 3 y + 17 = 0 is 2 3 . Slope of a line passing through 7 , 17 and 15 , β is 17 - β 7 - 15 . Since, both lines are perpendicular to each other, so product of slopes will be - 1 . ⇒ 17 - β 7 - 15 × 2 3 = - 1 ⇒ 17 - β - 8 = - 3 2 ⇒ 17 - β = 12 ⇒ β = 5 .

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