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Number of points | TOMATO B.Stat Objective 713

Try this TOMATO problem from I.S.I. B.Stat Entrance Objective Problem based on Number of points. You may use sequential hints.

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


Equation

Roots

Algebra

Check the Answer


But try the problem first…

Answer:4

Source
Suggested Reading

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.

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