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MHT CET202123 Sep 2021Morning ShiftMathematicsStraight LinesActual

If the angle between the lines is ^c 4 and slope of one of the lines is 1 2 , then slope of the other line is

Options

  1. A3 or - 1 3
  2. B4 or - 1 4
  3. C2 or - 1 2
  4. D3 or -3

Correct answer

A. 3 or - 1 3

Step-by-step solution

We have =45^ and m ₁= 1 2 aligned & = | m ₁- m ₂ 1+ m ₁ ~m ₂ | & 45^ = | 1 2 - m ₂ 1+ ( 1 2 ) m ₂ | | 1-2 ~m ₂ 2+ m ₂ |= 1 & 1-2 ~m ₂=2+ m ₂ or 1-2 ~m ₂=-2 & m ₂= -1 3 or m ₂=3 aligned

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