JEE Main 2005MathematicsCircleChord With A Given Middle PointmediumMCQ

JEE Main 2005 — Circle Question with Solution

From: AIEEE 2005

Question

If the pair of lines lie along diameters of a circle and divide the circle into four sectors such that the area of one of the sectors is thrice the area of another sector then :

Choose an option

Show full solutionCorrect option: D
Correct answer
D

Step-by-step explanation

AIEEE 2005 Mathematics - Circle Question 158 English Explanation

As per question area of one sector area of another sector

at center by one sector angle at center by another sector

Let one angle be then other

Clearly

Angle between the diameters represented by combined equation

is

Using

we get







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 2005, 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.