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Friday, 9 October

JEE Main 2025 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 3 April 2025, Shift 1, Maths Q13

Question 13 of 75 in this shift, Maths question 13 of 25, Section A.

A line passes through the origin and makes equal angles with the positive coordinate axes. It intersects the lines L1:2x+y+6=0\mathrm{L}_1 : 2x + y + 6 = 0 and L2:4x+2y−p=0, p>0\mathrm{L}_2 : 4x + 2y - p = 0,\ p > 0, at the points A and B, respectively. If AB=92\mathrm{AB} = \frac{9}{\sqrt{2}} and the foot of the perpendicular from the point A on the line L2\mathrm{L}_2 is M, then AMBM\frac{\mathrm{AM}}{\mathrm{BM}} is equal to
  1. (1)2
  2. (2)3Official answer
  3. (3)4
  4. (4)5

Official answer

Option 2

NTA final key.

Chapter
Straight Lines
Topic
Straight Line Distance
Idea tested
Distance between parallel lines

Same topic in other shifts

All Straight Line Distance questions
  1. 2 Apr 2026, Shift 1 · Q9Let the mid points of the sides of a triangle ABC be (52,7)\left(\frac{5}{2}, 7\right), (52,3)\left(\frac{5}{2}, 3\right) and (4,5)(4, 5). If its…MediumSingle correct
  2. 2 Apr 2026, Shift 2 · Q10Let a circle pass through the origin and its centre be the point of intersection of two mutually perpendicular lines…MediumSingle correct
  3. 4 Apr 2026, Shift 1 · Q11Let the line L1:x+3=0L_1: x+3=0 intersect the lines L2:x−y=0L_2: x-y=0 and L3:3x+y=0L_3: 3x+y=0 at the points A and B, respectively. Let the bisector of the…MediumSingle correct
  4. 5 Apr 2026, Shift 2 · Q22From the point (−1,−1)(-1, -1), two rays are sent making angles of 45∘45^\circ with the line x+y=0x+y=0. These rays get reflected from the mirror…HardNumerical value
  5. 6 Apr 2026, Shift 1 · Q22Let the centre of the circle x2+y2+2gx+2fy+25=0x^2+y^2+2gx+2fy+25=0 be in the first quadrant and lie on the line 2x−y=42x-y=4. Let the area of an equilateral…MediumNumerical value
  6. 2 Apr 2025, Shift 2 · Q10Let the area of the triangle formed by a straight line L:x+by+c=0L : x + by + c = 0 with co-ordinate axes be 48 square units. If the perpendicular…MediumSingle correct

Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 42 of the 174 JEE Main shifts held from 2017 to 2026.