Home
Class 12
MATHS
The number of point in the rectangle {(x...

The number of point in the rectangle `{(x , y)}-12lt=xlt=12a n d-3lt=ylt=3}` which lie on the curve `y=x+sinx` and at which in the tangent to the curve is parallel to the x-axis is 0 (b) 2 (c) 4 (d) 8

A

0

B

2

C

4

D

8

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    CENGAGE|Exercise Exercise (Multiple)|17 Videos

  • APPLICATION OF DERIVATIVES

    CENGAGE|Exercise Exercise (Comprehension)|13 Videos

  • APPLICATION OF DERIVATIVES

    CENGAGE|Exercise Exercise 5.8|9 Videos

  • 3D COORDINATION SYSTEM

    CENGAGE|Exercise DPP 3.1|11 Videos

  • APPLICATION OF INTEGRALS

    CENGAGE|Exercise Solved Examples And Exercises|137 Videos

Similar Questions

Explore conceptually related problems

The number of point in the rectangle {(x,y)}-12<=x<=12 and -3<=y<=3} which lie on the curve y=x+sin x and at which in the tangent to the curve is parallel to the x-axis is 0( b) 2(c)4(d)8

The point on the curve y=x^(3) at which the tangent to the curve is parallel to the X-axis, is

The number of points in the rectangle {(x,y):|x|le9,|y|le3} which lie on the curve y^(2)=x+sinx and at which the tangent to the curve is parallel to X-axis is

The point at which the tangent to the curve y=x^(2)-4x is parallel to x-axis, is

Find the point on the curve y = 2x^(2) - 6x - 4 at which the tangent is parallel to the x-axis

Find points at which the tangent to the curve y=x^(3)-3x^(2)-9x+7 is parallel to the x-axis

Find points at which the tangent to the curve y=x^(3)-3x^(2)-9x+7 is parallel to the x-axis.

Find the point on the curve y=x^3+x^2+x at which the tangent to the curve is perpendicular to the x+y=1

CENGAGE-APPLICATION OF DERIVATIVES-Exercise (Single)
  1. Given g(x) (x+2)/(x-1) and the line 3x+y-10=0. Then the line is

    Text Solution

    |

  2. If the length of sub-normal is equal to the length of sub-tangent at ...

    Text Solution

    |

  3. The number of point in the rectangle {(x , y)}-12lt=xlt=12a n d-3lt=yl...

    Text Solution

    |

  4. Tangent of acute angle between the curves y=|x^2-1| and y=sqrt(7-x^2) ...

    Text Solution

    |

  5. The line tangent to the curves y^3-x^2y+5y-2x=0 and x^2-x^3y^2+5x+2y=0...

    Text Solution

    |

  6. The two curves x=y^2,x y=a^3 cut orthogonally at a point. Then a^2 is ...

    Text Solution

    |

  7. The tangent to the curve y=e^(k x) at a point (0,1) meets the x-axis a...

    Text Solution

    |

  8. The curves 4x^2+9y^2=72 and x^2-y^2=5a t(3,2) touch each other (b)...

    Text Solution

    |

  9. The coordinates of a point on the parabola y^2=8x whose distance from ...

    Text Solution

    |

  10. At the point P(a,a^(n)) on the graph of y=x^(n)(n in N) in the first q...

    Text Solution

    |

  11. Let f be a continuous, differentiable, and bijective function. If the ...

    Text Solution

    |

  12. A point on the parabola y^2=18 x at which the ordinate increases at tw...

    Text Solution

    |

  13. Find the rate of change of volume of a sphere with respect to its s...

    Text Solution

    |

  14. If there is an error of k % in measuring the edge of a cube, then the ...

    Text Solution

    |

  15. A lamp of negligible height is placed on the ground l1 away from a wal...

    Text Solution

    |

  16. The function f(x)=x(x+3)e^(-(1/2)x) satisfies the conditions of Rolle'...

    Text Solution

    |

  17. The radius of a right circular cylinder increases at the rate of 0.1 ...

    Text Solution

    |

  18. A cube of ice melts without changing its shape at the uniform rate ...

    Text Solution

    |

  19. The radius of the base of a cone is increasing at the rate of 3 cm/min...

    Text Solution

    |

  20. If f(x)=x^3+7x-1, then f(x) has a zero between x=0a n dx=1 . The theor...

    Text Solution

    |