JEE Main 2017MathematicsCircleChord With A Given Middle PointmediumMCQ

JEE Main 2017Circle Question with Solution

From: JEE Main 2017 (Online) 8th April Morning Slot

Question

If two parallel chords of a circle, having diameter 4units, lie on the opposite sides of the center and subtend angles and sec1 (7) at the center respectivey, then the distance between these chords, is :

Choose an option

Show full solutionCorrect option: B
Correct answer
B

Step-by-step explanation

JEE Main 2017 (Online) 8th April Morning Slot Mathematics - Circle Question 136 English Explanation

Since cos2 = 1/7   2 cos2 Q 1 = 1/7

   2 cos2 = 8/7

    cos2 = 4/7

    cos2 =

   cos2 =

Also, sec2 = 7 = 7

= cos2 1 =

= 2 cos2 =

= cos =

P1P2 = r cos + r cos

= =

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 2017, 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.