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The slopes of the tangents to the curve y = x + 1 x - 3 at the points where it cuts the x -axis, are m 1 and m 2 , then the value of m 1 + m 2 is equal to

Options

  1. A8
  2. B- 2
  3. C2
  4. D0

Correct answer

D. 0

Step-by-step solution

The given curve is y = x 2 - 2 x - 3 , which cuts the x-axis at - 1,0 and 3,0 Now, d y d x = 2 x - 2 Thus, m 1 = 2 - 1 - 2 = - 4   &   m 2 = 2 3 - 2 = 4 ∴ m 1 + m 2 = 0

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