INTRODUCING 5 - days-a-week problem solving session for Math Olympiad and ISI Entrance. Learn More 

May 10, 2020

Number of roots Problem | TOMATO B.Stat Objective 712

Try this problem from I.S.I. B.Stat Entrance Objective Problem based on Number of roots.

Number of roots - B.Stat Objective Problem

The number of roots of the equation \(xsinx=1\) in the interval \([0,{2\pi}]\) is

  • 0
  • 2
  • 53361
  • 5082

Key Concepts




Check the Answer


B.Stat Objective Problem 712

Challenges and Thrills of Pre-College Mathematics by University Press

Try with Hints

First hint


which can be written as sinx=\(\frac{1}{x}\) and f(x) has solution at those points where sinx and \(\frac{1}{x}\) intersects

So let us draw the graph

here we see two graphs y=sin x and y=\(\frac{1}{x}\)

Second Hint

Number of roots - graph

both graphs intersect at two points between \((0,2\pi]\)

Final Step

or, number of roots is 2.

Subscribe to Cheenta at Youtube

Leave a Reply

This site uses Akismet to reduce spam. Learn how your comment data is processed.

Cheenta. Passion for Mathematics

Advanced Mathematical Science. Taught by olympians, researchers and true masters of the subject.