JEE Main 2021 — Circle Question with Solution
From: JEE Main 2021 (Online) 20th July Evening Shift
Question
Let r1 and r2 be the radii of the largest and smallest circles, respectively, which pass through the point (4, 1) and having their centres on the circumference of the circle x2 + y2 + 2x + 4y 4 = 0. If , then a + b is equal to :
Choose an option
Show full solutionCorrect option: C
Correct answer
C5
Step-by-step explanation
Centre of smallest circle is A
Centre of largest circle is B
a = 3, b = 2
Practice this on the real CBT interface
Solve this JEE Main question (and the rest of the Circle chapter) on PrepSharp's TCS iON-style CBT player — with timer, bookmarks and session analytics.
Solve interactively →About this question
This is a previous-year question from JEE Main 2021, covering the Circle chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.