Home
Class 12
MATHS
A particle is in motion along a curve 12...

A particle is in motion along a curve `12y=x^3`. The rate of change of its ordinate exceeds that of abscissa in

A

`-2ltxlt2`

B

`x=pm2`

C

`xlt-2`

D

`xgt2`

Text Solution

Verified by Experts

The correct Answer is:
C, D
Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER -2018

    CHHAYA PUBLICATION|Exercise WBJEE|45 Videos

  • QUADRATIC EQUATIONS

    CHHAYA PUBLICATION|Exercise Sample Question for Competitive Exams (Assertion- Reason Type)|2 Videos

  • QUESTION PAPER 2017

    CHHAYA PUBLICATION|Exercise UNIT-4|4 Videos

Similar Questions

Explore conceptually related problems

A particle moves along the curve y^(2) = 8x . At what point on the curve do the abscissa and ordinate increase at the same rate?

A point is in motion along a hyperbola y=(10)/(x) so that its abscissa increases uniformly at a rate of 1 unit per second. Then, the rate of change of its ordinate, when the point passes through (5,2)

A particle moves along the curve y=2/3x^3 . Find the points on the curve at which the y-coordinate is changing twice as fast as the x-coordinate.

A point is moving along the curve x^(3) = 12y, which of the coordinates changes at a faster rate at x= 10 ?

A particle moves along the curve 6y = x^(3) +2. Find the points on the curve at which the y-coordinate is changing 8 times as fast as the x-coordinate.

If a particle moves along the parabola y^2= 8x then the co-ordinates of the point on which the rate of change of abscissa is equal to the rate of change of ordinate, is

A point on the parabola y^(2)=18x at which the ordinate increases at twice the rate of the abscissa is-

Find out at which points on the curve y=f(x)=3x^(5)-5x^(3)+5x-7 , the rate of change of the function f(x) is minimal . What is the value of the rate of change ?

Find the point on the parabola y^(2) = - 36 x at which the ordinate is three times the abscissa .

A particle moves along the parabola y^2=4x . Find the coordinates of the point on the parabola, where the rate of increment of abscissa is twice the rate of increment of the ordinate.

CHHAYA PUBLICATION-QUESTION PAPER -2018-WBJEE
  1. A student appears for tests, I,II and III. The student is successful i...

    Text Solution

    |

  2. If 0leAle(pi)/(4)," then " tan^(-1)((1)/(2)tan2A)+tan^(-1)(cotA)+tan^(...

    Text Solution

    |

  3. The angle between a pair of tangents drawn from a point P to the circl...

    Text Solution

    |

  4. A point P lies on a line through Q(1,-2,3) and is parallel to the line...

    Text Solution

    |

  5. The foot of the perpendicular drawn from the point (1,8,4) on the line...

    Text Solution

    |

  6. A ladder 20 ft long leans against a vertical wall. The top end slides ...

    Text Solution

    |

  7. For 0leple1 and for any positive a,b let I(p)=(a+b)^p,J(p)=a^p+b^p: th...

    Text Solution

    |

  8. Let vecalpha=hati+hatj+hatk,vecbeta=hati-hatj-hatk" and "vecgamma=-hat...

    Text Solution

    |

  9. Let vecalpha,vecbeta,vecgamma be three unit vectors such that vecalpha...

    Text Solution

    |

  10. The least positive integer n such that ({:(cos""((pi)/(4)),sin""((pi)/...

    Text Solution

    |

  11. Let p be a relation on N, the set of natural numbers, as p={(x,y)neN x...

    Text Solution

    |

  12. If the polynomial f(x)=|{:((1+x)^a,(2+x)^b,1),(1,(1+x)^a,(2+x)^b),((2+...

    Text Solution

    |

  13. Let f(x)={{:(-2sinx" if "xle-(pi)/(2)),(Asinx+B" if "-(pi)/2ltxlt(pi)/...

    Text Solution

    |

  14. The normals to the curve y=x^2+1, drawn at the points with the absciss...

    Text Solution

    |

  15. The equation xlogx=3-x

    Text Solution

    |

  16. Let I=int0^1(x^3cos3x)/(2+x^2)dx. Then

    Text Solution

    |

  17. A particle is in motion along a curve 12y=x^3. The rate of change of i...

    Text Solution

    |

  18. The area of the region lying above x-axis, and included between the ci...

    Text Solution

    |

  19. In a third order matrix A, a(ij) denotes the element in the i-th row a...

    Text Solution

    |

  20. Let f(x)=cos((pi)/(x)),xne0 then assuming k as an integer,

    Text Solution

    |