JEE Main 2022MathematicsCircleMediumMCQ

JEE Main 2022 — Circle Question with Solution

JEE Main 2022 (29 Jun Shift 2)

Question

Let a triangle ABC be inscribed in the circle x2-2x+y+y2=0 such that ∠BAC=π2. If the length of side AB is 2, then the area of the △ABC is equal to:

Choose an option

Show full solutionCorrect option: A
Correct answer
A1

Step-by-step explanation

Given,

circle x2-2x+y+y2=0

With centre 12,12 and radius 1.

Since ∠BAC=π2, so BC will act as diameter,

BC=diameter=2  (given)

So, AC=BC2-AB2=2 and AB=2

Now, △ABC=12AB·AC=1  

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 2022, 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.