Let y = a x + bx be curve, (2x – y) + λ (2x + y – 4) = 0 be family of lines. If curve has…

Mathematics · JEE Main · NTA ExamsLimit, Continuity and Differentiability


Let y = a \(\sqrt{\mathrm{x}}\) + bx be curve, (2x – y) + λ (2x + y – 4) = 0 be family of lines.
If curve has slope \(-\frac{1}{2}\)at (9, 0) then a tangent belonging to family of lines is
  1. x + 2y – 5 = 0
  2. x – 2y + 3 = 0
  3. 3x – y – 1 = 0
  4. 3x + y – 5 = 0

Answer

(B) x – 2y + 3 = 0

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