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The equation of the tangent to the parabola y 2 = 4 x + 5 which is parallel to the line y = 2 x + 7 is

Options

  1. Ay = 2 x
  2. By = 2 x - 3
  3. Cy = 2 x + 3
  4. Dy = 2 x + 5

Correct answer

C. y = 2 x + 3

Step-by-step solution

y 2 = 4 x + 5 is same as y 2 = 4 x + 5 4 The equation of the tangent to y 2 = 4 x + 5 4 which is parallel to y = 2 x + 7 is y = 2 x + 5 4 + 1 2 ⇒ y = 2 x + 3

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