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The focus of the conic represented parametrically by the equation y = t 2 + 3 , x = 2 t - 1 is

Options

  1. A1,4
  2. B4,1
  3. C- 1,3
  4. D- 1,4

Correct answer

D. - 1,4

Step-by-step solution

Given y = t 2 + 3 ,   x = 2 t - 1 Eliminating t , we get, y = x + 1 2 2 + 3 ⇒ x + 1 2 = 4 y - 3 Hence, vertex: - 1,3 and focus: - 1,4

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