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JEE Main20253 Apr 2025Morning ShiftMathematicsStraight LinesActual

A line passes through the origin and makes equal angles with the positive coordinate axes. It intersects the lines L ₁: 2 x + y +6=0 and L ₂: 4 x +2 y - p =0, p 0 , at the points A and B , respectively. If A B= 9 2 and the foot of the perpendicular from the point A on the line L₂ is M , then A M B M is equal to

Options

  1. A5
  2. B4
  3. C2
  4. D3

Correct answer

D. 3

Step-by-step solution

aligned & Line is y = x & m ₁=1, ~m ₂=-2 & so = | 1+2 1-2 | & = AM BM =3 aligned

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