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Friday, 9 October

JEE Main 2026 · MathsMultiple choiceSingle correctHardMulti-step

JEE Main 5 April 2026, Shift 2, Maths Q11

Question 11 of 75 in this shift, Maths question 11 of 25, Section A.

Let the point P be the vertex of the parabola y=x2−6x+12y=x^2-6x+12. If a line passing through the point P intersects the circle x2+y2−2x−4y+3=0x^2+y^2-2x-4y+3=0 at the points R and S, then the maximum value of (PR+PS)2(PR+PS)^2 is :
  1. (1)1010
  2. (2)2020Official answer
  3. (3)2525
  4. (4)55

Official answer

Option 2

NTA final key.

Chapter
Conic Sections
Topic
Power of a Point
Idea tested
Secant-Tangent Power Theorem

Same topic in other shifts

All Power of a Point questions
  1. 30 Jan 2024, Shift 2 · Q28Consider two circles C1:x2+y2=25C_1: x^2 + y^2 = 25 and C2:(x−α)2+y2=16C_2: (x - \alpha)^2 + y^2 = 16, where α∈(5,9)\alpha \in (5, 9). Let the angle between the two…HardNumerical value

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.