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Saturday, 31 October

JEE Main 2022 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 24 June 2022, Shift 2, Maths Q8

Question 8 of 90 in this shift, Maths question 8 of 30, Section A.

A particle is moving in the xyxy-plane along a curve CC passing through the point (3,3)(3, 3). The tangent to the curve CC at the point PP meets the xx-axis at QQ. If the yy-axis bisects the segment PQPQ, then CC is a parabola with
  1. (1)length of latus rectum 3Official answer
  2. (2)length of latus rectum 6
  3. (3)focus (43,0)\left(\frac{4}{3}, 0\right)
  4. (4)focus (0,34)\left(0, \frac{3}{4}\right)

Official answer

Option 1

NTA final key.

Chapter
Differential Equations
Topic
Variable Separable Form
Idea tested
Geometric Applications

Same idea in other shifts

Asked 3× in all
  1. 25 Jul 2022, Shift 2 · Q11Let a smooth curve y=f(x)y=f(x) be such that the slope of the tangent at any point (x,y)(x,y) on it is directly proportional to…MediumSingle correct
  2. 24 Jun 2022, Shift 2 · Q19The slope of normal at any point (x,y)(x, y), x>0x > 0, y>0y > 0 on the curve y=y(x)y = y(x) is given by x2xy−x2y2−1\frac{x^2}{xy - x^2y^2 - 1}. If the…HardSingle 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 108 of the 174 JEE Main shifts held from 2017 to 2026.