Home
Class 12
MATHS
A particle moves along the curve y=x^2+2...

A particle moves along the curve `y=x^2+2x`. Then the point on the curve such that x and y coordinates of the particle change with the same rate, is

A

(1, 3)

B

`(1/2,5/2)`

C

`(-1/2,-3/4)`

D

`(-1,-1)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • ADDITION OF VECTORS AND PRODUCT OF VECTORS

    SIA PUBLICATION|Exercise Problems|90 Videos
  • BINOMIAL THEOREM AND PARTIAL FRACTIONS

    SIA PUBLICATION|Exercise Problems|48 Videos

Similar Questions

Explore conceptually related problems

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.

Find the points on the curve y = x^3 at which the slope of the tangent is equal to the y-coordinate of the point.

At the point (2, 5) on the curve y=x^3-2x+1 the gradient of the curve is increasing

The point on the curve y=x/(1+x^2) where the tangent to the curve has the greatest slope is

At the point (2,3) on the curve y = x^(3) - 2x + 1 , the gradient of the curve increases

Equation of the tangent to the curve y=2x^3_6x^2-9 at the point where the curve crosses the y -axis is

The point on the curve y=x^(2) is nearest to (3,0) is

SIA PUBLICATION-APPLICATIONS OF DERIVATIVES -PROBLEMS
  1. The extreme values of 4cos(x^2)cos(pi/3+x^2)cos(pi/3-x^2) over R, are

    Text Solution

    |

  2. A stone thrown upwards has its equation of motion S=490t-4.9t^2. Then ...

    Text Solution

    |

  3. The radius of a circular plate is increases at the rate of 0.01 cm/s w...

    Text Solution

    |

  4. Statement I f(x)=2x^3-9x^2+12x-3 is increasing outside the interval (1...

    Text Solution

    |

  5. A particle moves along the curve y=x^2+2x. Then the point on the curve...

    Text Solution

    |

  6. A point is moving on y=4-2x^2. The x-coordinate of the point is decrea...

    Text Solution

    |

  7. If f:RrightarrowR is an even function having derivatives of all orders...

    Text Solution

    |

  8. Match the column I (the curve 2y^2 = x + 1) with column II (the slope ...

    Text Solution

    |

  9. The sum of two numbers is 20. If the product of the square of one numb...

    Text Solution

    |

  10. A minimum value of int(0)^(x)(te^(t^2))dt IS

    Text Solution

    |

  11. Gas is being pumped into a spherical balloon at the rate of 30ft^3//mi...

    Text Solution

    |

  12. The angle between the curves y=sinx and y=cosx is

    Text Solution

    |

  13. The minimum value of 2x^2+x-1 is

    Text Solution

    |

  14. If log(1+x)-(2x)/(2+x) is increasing, then

    Text Solution

    |

  15. The function f(x)=xe^-x, forall(x inR) attains a maximum value at x eq...

    Text Solution

    |

  16. The two curves x=y^2, xy=a^3 cut orthogonally at a point, then a^2 is ...

    Text Solution

    |

  17. The approximate value of (1.0002)^3000 is

    Text Solution

    |

  18. The minimum value of (x-alpha)(x-beta) is

    Text Solution

    |

  19. The equation of tangent to the curve 6y=7-x^3 at (1, 1), is

    Text Solution

    |

  20. The maximum value of xy subject to x+y=7, is

    Text Solution

    |