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MHT CET20244 May 2024Evening ShiftMathematicsStraight LinesActual

The acute angle between the lines x 30^ +y 30^ =3 and x 60^ +y 60^ =5 is

Options

  1. A75^
  2. B30^
  3. C60^
  4. D45^

Correct answer

B. 30^

Step-by-step solution

Given equations of lines, x 30^ +y 30^ =3 and x 60^ +y 60^ =5 3 x+y=6 and x+ 3 y=10 Slope of line 3 x+y=6=m₁=- 3 Slope of line x+ 3 y=10= m ₂= -1 3 aligned & = | m₁-m₂ 1+m₁ m₂ | & = | - 3 + 1 3 1+(- 3 ) ( -1 3 ) | & = | -3+1 2 3 | & = | -2 2 3 | & = 1 3 & =30^ aligned

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