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Friday, 9 October

JEE Main 2022 · MathsMultiple choiceSingle correctMediumCalculation

JEE Main 25 July 2022, Shift 1, Maths Q12

Question 12 of 90 in this shift, Maths question 12 of 30, Section A.

A line, with the slope greater than one, passes through the point A(4,3)\mathrm{A}(4,3) and intersects the line x−y−2=0x-y-2=0 at the point B\mathrm{B}. If the length of the line segment AB\mathrm{AB} is 293\frac{\sqrt{29}}{3}, then B\mathrm{B} also lies on the line :
  1. (1)2x+y=92x+y=9
  2. (2)3x−2y=73x-2y=7
  3. (3)x+2y=6x+2y=6Official answer
  4. (4)2x−3y=32x-3y=3

Official answer

Option 3

NTA final key (2022 Session 2).

Chapter
Straight Lines
Topic
Straight Line Distance
Idea tested
Distance Measured Parallel to a Line

Same idea in other shifts

Asked 2× in all
  1. 31 Jan 2024, Shift 2 · Q15Let A(a,b)A(a,b), B(3,4)B(3,4) and C(−6,−8)C(-6,-8) respectively denote the centroid, circumcentre and orthocentre of a triangle. Then, the distance of…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.