Verified Solution • 2025–26 Session moderate

QJEEM22Ma9a5a: JEE Main 2022 Mathematics - Class 11 JEEM22Ma9a5a Solution: A rectangle R with end points of one of its sides as (1, 2) and …

A rectangle R with end points of one of its sides as (1, 2) and (3, 6) is inscribed in a circle. If the equation of a diameter of the circle is 2x − y + 4 = 0, then the area of R is ____________.

Step-by-Step Verified Solution

JEE Main 2022 (Online) 27th June Morning Shift Mathematics - Circle Question 62 English Explanation

As slope of line joining (1, 2) and (3, 6) is 2 given diameter is parallel to side

∴ a=(3−1)2+(6−2)2=20

and b/2=45⇒b=85

Area =ab=25.85=16.

Related Learning Resources & Exam Preparation

JEE Main PYQ Question Bank
Browse year-wise authentic previous years' questions with solutions
Authentic CBT Mock Tests
Simulate official exam environment with live timer and percentile scoring