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

June 8, 2020

Number of points | TOMATO B.Stat Objective 713

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

Numbers of points (B.Stat Objective Question)

The number of points in the rectangle {(x,y)|\(-10 \leq x \leq 10 and -3 \leq y \leq 3\)} which lie on the curve \(y^{2}=x+sinx \) and at which the tangent to the curve in parallel to x axis, is

  • 0
  • 4
  • 53361
  • 5082

Key Concepts




Check the Answer


B.Stat Objective Problem 713

Challenges and Thrills of Pre-College Mathematics by University Press

Try with Hints

First hint

here we see two graphs \(y^{2}=x+sinx\) and rectangle region

Second Hint

four such points here in which tangent is parallel to x axis

Final Step

or, number of required points=4.

Subscribe to Cheenta at Youtube

One comment on “Number of points | TOMATO B.Stat Objective 713”

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.