/

Learn

Saturday, 31 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=x^2-6x+12

. If a line passing through the point P intersects the circle

x^2+y^2-2x-4y+3=0

at the points R and S, then the maximum value of

(PR+PS)^2

is :

(1) $10$
(2) $20$ Official answer
(3) $25$
(4) $5$

Official answer

Option 2

NTA final key.

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

Same idea in other shifts

Asked 2× in all

26 Feb 2021, Shift 1 · Q66In the circle given below, let $OA = 1$ unit, $OB = 13$ unit and $PQ \perp OB$ . Then, the area of the triangle $PQB$ (in square units) is :MediumSingle correctHas a figure

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.