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MHT CET202014 Oct 2020Morning ShiftMathematicsQuadratic EquationActual

If m₁ and m₂ are slopes of the lines represented by ( ² - ² ) x²-2 x y+ ² y²=0 , then |m₁-m₂ |=

Options

  1. A1
  2. B2
  3. C4
  4. D3

Correct answer

B. 2

Step-by-step solution

( scc ² - ² ) x²-2 x y+ ² y²=0 a x²+2 b x y+b y² =0 |m₁-m₂ |=? |m₁-m₂ |= (m₁+m₂ )²-4 m₁ m₂ m₁+m₂= -2 h b m₁ m₂= a b m₁-m₂ = 4 ² -4 ( ² - ² ) ² =2

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