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A piece of cheese is located at 12 , 10 in a coordinate plane. A mouse is at 4 , − 2 and is running up the line y = − 5 x + 18 to get closer to the piece of cheese. At the point a , b , the mouse starts getting farther from the cheese rather than closer to it. Then the value of a + b is

Options

  1. A6
  2. B10
  3. C18
  4. D14

Correct answer

B. 10

Step-by-step solution

a , b is the foot of the perpendicular from 12 , 10 on the line y + 5 x = 18 ⇒ a - 1 2 5 = b - 1 0 1 = - 1 0 + 5 1 2 - 1 8 2 6 ⇒ a, b = 2, 8

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