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Saturday, 31 October

JEE Main 2022 · MathsMultiple choiceSingle correctEasyCalculation

JEE Main 28 June 2022, Shift 2, Maths Q15

Question 15 of 90 in this shift, Maths question 15 of 30, Section A.

If vertex of a parabola is (2,−1)(2, -1) and the equation of its directrix is 4x−3y=214x-3y=21, then the length of its latus rectum is :
  1. (1)2
  2. (2)8Official answer
  3. (3)12
  4. (4)16

Official answer

Option 2

NTA final key.

Same topic in other shifts

All General Conic Section questions
  1. 2 Apr 2026, Shift 2 · Q11Let OO be the origin, and PP and QQ be two points on the rectangular hyperbola xy=12xy = 12 such that the midpoint of the line segment…MediumSingle correct
  2. 4 Apr 2026, Shift 1 · Q13Suppose that two chords, drawn from the point (1,2)(1,2) on the circle x2+y2+x−3y=0x^2+y^2+x-3y=0 are bisected by the yy-axis. If the other ends of…HardSingle correct
  3. 5 Apr 2026, Shift 1 · Q10Let P be a moving point on the circle x2+y2−6x−8y+21=0x^2 + y^2 - 6x - 8y + 21 = 0. Then, the maximum distance of P from the vertex of the parabola…MediumSingle correct
  4. 6 Apr 2026, Shift 2 · Q12Let x=9x=9 be a directrix of an ellipse E, whose centre is at the origin and eccentricity is 13\frac{1}{3}. Let P (α,0)(\alpha,0), α>0\alpha>0,…MediumSingle correct
  5. 4 Apr 2025, Shift 2 · Q10Let for two distinct values of p the lines y=x+py=x+p touch the ellipse E:x242+y232=1E:\frac{x^2}{4^2}+\frac{y^2}{3^2}=1 at the points A and B. Let the…HardSingle correct
  6. 7 Apr 2025, Shift 1 · Q10Let P be the parabola, whose focus is (−2,1)(-2, 1) and directrix is 2x+y+2=02x + y + 2 = 0. Then the sum of the ordinates of the points on P, whose…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 108 of the 174 JEE Main shifts held from 2017 to 2026.