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AP EAMCET202023 Sep 2020Morning ShiftMathematicsEllipseActual

If the line y = 2 x + c touches the curve x 2 + 4 y 2 = 4 , then c 2 =

Options

  1. A65
  2. B17
  3. C63
  4. D8

Correct answer

B. 17

Step-by-step solution

y = 2 x + c is tangent to ellipse x 2 4 + y 2 1 = 1 Tangent : y = m x ± 4 m 2 + 1 On comparing m = 2 ,   c 2 = 4 m 2 + 1 ⇒ c 2 = 17

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