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Manipal MET2020MathematicsStraight Lines

The value of the angle between two straight lines y=(2- 3 ) x+5 and y=(2+ 3 ) x-7 is

Options

  1. A30^
  2. B60^
  3. C45^
  4. D90^

Correct answer

B. 60^

Step-by-step solution

Given equation of straiaht lines are y=(2- 3 ) x+5 and y=(2+ 3 ) x-7 On comparing with y=m x+c , we get m₁=2- 3 and m₂=2+ 3 = m₂-m₁ 1+m₁ m₂ = 2+ 3 -(2- 3 ) 1+(2- 3 )(2+ 3 ) = 2 3 1+(4-3) = 2 3 1+4-3 = 2 3 2 = 3 =60^

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