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AP EAMCET202023 Sep 2020Morning ShiftMathematicsStraight LinesActual

The length of the perpendicular from 1 , - 2 to the line 12 x + 5 y + 63 = 0 is

Options

  1. A4 units
  2. B5 units
  3. C6 units
  4. D85 13 units

Correct answer

B. 5 units

Step-by-step solution

As we know length of the perpendicular from x 1 , y 1 , z 1 to the line a x + b y + c = 0 is d = a x 1 + b y 1 + c a 2 + b 2 Length of the perpendicular from 1 , - 2 to the line 12 x + 5 y + 63 = 0 is d = 12 1 + 5 - 2 + 63 12 2 + 5 2 ⇒ d = 12 - 10 + 63 144 + 25 = 65 13 = 5 units.

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