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Friday, 9 October

JEE Main 2023 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 11 April 2023, Shift 1, Maths Q19

Question 19 of 90 in this shift, Maths question 19 of 30, Section A.

Let R be a rectangle given by the lines x=0x = 0, x=2x = 2, y=0y = 0 and y=5y = 5. Let A(α,0)A(\alpha, 0) and B(0,β)B(0, \beta), α∈[0,2]\alpha \in [0, 2] and β∈[0,5]\beta \in [0, 5], be such that the line segment AB divides the area of the rectangle R in the ratio 4:14:1. Then, the mid-point of AB lies on a
  1. (1)straight line
  2. (2)parabola
  3. (3)hyberbolaOfficial answer
  4. (4)circle

Official answer

Option 3

NTA final key.

Chapter
Straight Lines
Topic
No close match in our taxonomy
Idea tested
No close match in our taxonomy

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.