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JEE Main2004MathematicsApplication of DerivativesActual

If the sum of the slopes of the lines given by x^2-2 c x y-7 y^2=0 is four times their product, then c has the value

Options

  1. A1
  2. B-1
  3. C2
  4. D-2

Correct answer

C. 2

Step-by-step solution

m₁+m₂=- 2 c 7 and m₁ m₂=- 1 7 m₁+m₂=4 m₁ m₂ (given) c=2

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