Learn

Friday, 9 October

JEE Main 2026 · MathsNumerical answerNumerical valueMediumMulti-step

JEE Main 6 April 2026, Shift 1, Maths Q22

Question 22 of 75 in this shift, Maths question 22 of 25, Section B.

Let the centre of the circle x2+y2+2gx+2fy+25=0x^2+y^2+2gx+2fy+25=0 be in the first quadrant and lie on the line 2x−y=42x-y=4. Let the area of an equilateral triangle inscribed in the circle be 27327\sqrt{3}. Then the square of the length of the chord of the circle on the line x=1x=1 is ________.

Official answer

80

NTA final key.

Chapter
Conic Sections
Topic
Straight Line Distance
Idea tested
Chord Length via Perpendicular Distance

Same idea in other shifts

Asked 2× in all
  1. 2 Apr 2026, Shift 2 · Q10Let a circle pass through the origin and its centre be the point of intersection of two mutually perpendicular lines…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 42 of the 174 JEE Main shifts held from 2017 to 2026.