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MHT CET2017MathematicsPair of Lines

If slopes of lines represented by K x 2 + 5 x y + y 2 = 0 differ by 1 then K =

Options

  1. A2
  2. B3
  3. C6
  4. D8

Correct answer

C. 6

Step-by-step solution

k x 2 + 5 x y + y 2 = 0 If the slopes of the lines in this pair are m 1 , m 2 then m 1 + m 2 = - 5 , m 1 m 2 = k , But it is given that m 1 - m 2 = 1 So m 1 - m 2 2 = m 1 + m 2 2 - 4 m 1 m 2 ⇒ 1 = 25 - 4 k ⇒ k = 6

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