Home
Class 12
MATHS
Find the point on the curve y^2=8x at wh...

Find the point on the curve `y^2=8x` at which the abscissa and the ordinate change at the same rate.

Text Solution

AI Generated Solution

To find the point on the curve \( y^2 = 8x \) at which the abscissa (x-coordinate) and the ordinate (y-coordinate) change at the same rate, we will follow these steps: ### Step 1: Differentiate the equation with respect to \( x \) Given the equation: \[ y^2 = 8x \] We differentiate both sides with respect to \( x \): ...
Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    MAHAVEER PUBLICATION|Exercise QUESTION BANK|51 Videos
  • FUNCTION

    MAHAVEER PUBLICATION|Exercise QUESTION BANK|115 Videos

Similar Questions

Explore conceptually related problems

Find the point on the curve y^(2).8x. for which the abscissa and ordinate change at the same rate.

The point on the parabola y^(2)=4x at which the abscissa and ordinate change at the same rate is

Find a point on the curve y^(2)=2x at which the abscissa and ordinates are increasing at the same rate.

The point on the circle x^(2)+y^(2)=8 at which the abscissa and ordinate increase at the same rate is

A particle is constrained to move along the curve y= sqrtx starting at the origin at time t=0. The point on the curve where the abscissa and the ordinate are changing at the same rate is

The point on the ellips 9x^(2) +16y^(2)=400 at which the abscissa and ordinate decrease at the same rate is

= Find the point on the curve y^(2)=8x+3 for which the y-coordinate changes 4 xx more than coordinate of x.

Find the point on the curve y^(2)=4x which is nearest to the point (2;-8)

Find the point on the curve y^(2)=4x which is nearest to the point (2,-8)

Find the point on the curve x^(2)=8y which is nearest to the point (2,4).

MAHAVEER PUBLICATION-DIFFERENTIATION OR DERIVATIVE OF A FUNCTION-QUESTION BANK
  1. The radius of a circle is increasing uniformly at the rate of 3cm//s.F...

    Text Solution

    |

  2. The rate of change of radius of a circle is 1/pi cm//sec. Find the rat...

    Text Solution

    |

  3. Find the point on the curve y^2=8x at which the abscissa and the ordin...

    Text Solution

    |

  4. A balloon, which always remains spherical on inflation, is being infla...

    Text Solution

    |

  5. A balloon, which always remains spherical , has a variable diameter 3/...

    Text Solution

    |

  6. A man 1.5 m tall walks away from a lamp post 4.5 m high at a rate of 4...

    Text Solution

    |

  7. Sand is pouring from a pipe at the rate of 12 c m^3//s . The falling s...

    Text Solution

    |

  8. Find the slope of the tangent to the curve y(x^2+1)=x at the point (1...

    Text Solution

    |

  9. Find the inclination to the positive x-axis of the tangent to the curv...

    Text Solution

    |

  10. Find the points at which the tangent to the curve y=x^4/4-2x^2 is para...

    Text Solution

    |

  11. Find the points on the circle x^2+y^2=16 at which the tangents are per...

    Text Solution

    |

  12. Find the point on the curve y=2x^2 at which the slope of the tangent i...

    Text Solution

    |

  13. Find the slope of the normal to the curve x=1-asin theta, y=b cos^2the...

    Text Solution

    |

  14. Find the point on the curve y = (x - 2)^(2) at which the tangent is pa...

    Text Solution

    |

  15. Find the point on the curve y=x^3-11 x+5 at which the tangent is y"...

    Text Solution

    |

  16. Find the equation of all lines having slope 1that are tangents to the...

    Text Solution

    |

  17. Find the equations of all lines having slope 0 which are tangent to t...

    Text Solution

    |

  18. Find the equation of the tangent to the curve. x^2+5y^2=9 at (2,-1)

    Text Solution

    |

  19. The equation of tangent to the curve x^(2)+y^(2)+xy=3 at (1,1) is

    Text Solution

    |

  20. Find the equation of the tangent to the curve. y^2=4x+5 at (1,3)

    Text Solution

    |