JEE Main 2022 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 27 July 2022, Shift 1, Maths Q19

Question 19 of 90 in this shift, Maths question 19 of 30, Section A.

If the circle

x^2 + y^2 - 2gx + 6y - 19c = 0

g, c \in \mathbb{R}

passes through the point

(6, 1)

and its centre lies on the line

x - 2cy = 8

, then the length of intercept made by the circle on

x

-axis is

(1) $\sqrt{11}$
(2)4
(3)3
(4) $2\sqrt{23}$ Official answer

Official answer

Option 4

NTA final key.

Chapter: Conic Sections
Topic: General Conic Section
Idea tested: Length of Intercept on a Line

Same topic in other shifts

All General Conic Section questions

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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.