Home
Class 12
MATHS
On the curve y=x^(2), find a point at wh...

On the curve `y=x^(2)`, find a point at which the tangent is parallel to the chord joining (0,0) and (1,1).

Text Solution

Verified by Experts

The correct Answer is:
`(1/2,1/4)`
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    SRISIRI PUBLICATION|Exercise 10.1 ERRORS AND APPROXIMATIONS - VSAQ (SPQ)|3 Videos

  • APPLICATIONS OF DERIVATIVES

    SRISIRI PUBLICATION|Exercise 10.2 TANGENT AND NORMAL - SAQ (SPQ)|10 Videos

  • APPLICATIONS OF DERIVATIVES

    SRISIRI PUBLICATION|Exercise 10.5 MAXIMA AND MINIMA - LAQ|8 Videos

  • ADDITION OF VECTORS

    SRISIRI PUBLICATION|Exercise SPQ|7 Videos

  • BOARD MODEL PAPER-1

    SRISIRI PUBLICATION|Exercise QUESTIONS|24 Videos

Similar Questions

Explore conceptually related problems

Find a point on the curve y = (x – 2)^(2) at which the tangent is parallel to the chord joining the points (2, 0) and (4, 4).

On the curve y=x^3 , the point at which the tangent line is parallel to the chrod joinnig the points (-1,-1) and (2,8) is

Find a point on the graph of the curve y=(x-3)^(2) , where the tangent is parallel to the chord joining (3,0) and (4,1)

Find a point on the curve y=x^(3) , when the tangent is parallel to the chord joining (1,1), (3,27).

The point on the curve x^2+y^2-2x-3=0 at which the tangent is parallel to x-axis is

The point on the curve x^4-4x^3+4x^2+1 at which the tangent is parallel to x-axis is

The point on the curve y=x^3+x-2 , the tangent at which is parallel to the line y=4x-1 is

SRISIRI PUBLICATION-APPLICATIONS OF DERIVATIVES-10.5 MAXIMA AND MINIMA - VSAQ.SAQ
  1. Find the equation of tangent and normal to the curve y=x^(4)-6x^(3)+13...

    Text Solution

    |

  2. Find the equations of the tangent and normal to the curve y = 1/(1 + x...

    Text Solution

    |

  3. On the curve y=x^(2), find a point at which the tangent is parallel to...

    Text Solution

    |

  4. Find a point on the graph of the curve y=(x-3)^(2), where the tangent ...

    Text Solution

    |

  5. Verify Rolle's theorem for the function sinx-sin2x on [0,pi]

    Text Solution

    |

  6. Find the absolute extremum of f(x)=x^(2) is defined on [-2,2]

    Text Solution

    |

  7. Find the points of local extrema for the function f(x) = cos4x defin...

    Text Solution

    |

  8. Find the maxima and minima of f(x)=x/2+2/x, (x gt 0).

    Text Solution

    |

  9. Determine the intervals in which f(x)=2/((x-1))+18x,AAx in R-{0} is st...

    Text Solution

    |

  10. The profit function p(x) of a company, selling x items per day is give...

    Text Solution

    |

  11. What is differential of y?

    Text Solution

    |

  12. How do you define the angle between two intersecting curves?

    Text Solution

    |

  13. Define the strictly increasing function and strictly decreasing functi...

    Text Solution

    |

  14. Define the increasing function and decreasing function on an interval.

    Text Solution

    |

  15. What is a monotonic function?

    Text Solution

    |

  16. Define Critical point of a function.

    Text Solution

    |

  17. Define Stationery point of a function.

    Text Solution

    |

  18. Define local maxima and local minima (or) What is second derivative te...

    Text Solution

    |

  19. Define Rolles mean value theorem.

    Text Solution

    |

  20. Define Lagrange's Mean value theorem.

    Text Solution

    |