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MHT CET20226 Aug 2022Evening ShiftMathematicsThree Dimensional GeometryActual

The equation of the lines passing through the point (3,2) and making an acute angle of 45^ with the lien x-2 y-3=0 are

Options

  1. Ax+2 y-7=0,2 x-y-4=0
  2. B3 x+y-11=0, x+3 y-9=0
  3. C3 x-y-7=0, x+3 y-9=0
  4. D3 x+y-11=0, x+3 y+9=0

Correct answer

C. 3 x-y-7=0, x+3 y-9=0

Step-by-step solution

Let the slope of required line by m then 45^ = | m- 1 2 1+m 1 2 | aligned & 1= m- 1 2 1+m 1 2 & m=3 or m=- 1 3 aligned So, required equation aligned & (y-2)=3(x-3) or (y-2)= -1 3 (x-3) & 3 x-y-7=0 or x+3 y-9=0 aligned

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