Home
Class 12
MATHS
Find a point on the curve y=(x-2)^2 at w...

Find a point on the curve `y=(x-2)^2` at which the tangent is parallel to the chord joining the points `(1,1)` and `(4,4)`

Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF INTEGRALS

    BODY BOOKS PUBLICATION|Exercise EXERCISE|53 Videos

  • DETERMINANTS

    BODY BOOKS PUBLICATION|Exercise EXERCISE|116 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).

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

Find the point on the curve y=x^3-10x+8 at which the tangent is parallel to the line y=2x+1 .

The point on the curve y=2x^(2)-6x-4 at whichh the tangent is parallel to the x-axis, is :

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

Find a point at which the tangent to the curve y=(x-2)^2 is parallel to the chord joining the point A (2,0) and B(4,4)

Find points on the curve x^2/4+y^2/25=1 at which the tangents are parallel to y-axis

Find points on the curve x^2/4+y^2/25=1 at which the tangents are parallel to x-axis

Find the points on the curve x^2+y^2-2x-3=0 at which the tangent are parallel to x-axis.

Find points on the curve x^2/25+y^2/9=1 at which the tangents are Parallel to y-axis.

BODY BOOKS PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE
  1. Consider y=(xsin^-1x)/(sqrt(1-x^2)) Differentiate x. sin^-1x with resp...

    Text Solution

    |

  2. Verify mean value theorem for the function f(x)=(x-2)^2 in [1,4] .

    Text Solution

    |

  3. Find a point on the curve y=(x-2)^2 at which the tangent is parallel t...

    Text Solution

    |

  4. If y=sin(m sin^-1x), Find dy/dx.

    Text Solution

    |

  5. If y=sin(m sin^-1x). Show that sqrt(1-x^2)dy/dx=mcos(msin^-1x)

    Text Solution

    |

  6. If y=sin(m sin^-1x), Hence prove that (1-x^2)(d^2y)/dx^2-xdy/dx+m^2y=0...

    Text Solution

    |

  7. Verify Lagrange 's mean value theorem, if f(x)=x^3-5x^2-3x in the inte...

    Text Solution

    |

  8. Using mathematical induction prove that d/(d x)(x^n)=n x^(n-1) for all...

    Text Solution

    |

  9. Choose the correct answer from the bracket. If x=sin t and y= cos t, t...

    Text Solution

    |

  10. Find the value of k such that the function f(x) defined by f(x)={(kx-1...

    Text Solution

    |

  11. If y^x=e^(y-x), prove that dy/dx=(1+logy)^2/logy.

    Text Solution

    |

  12. Find the value of a such that the function f(x) defined by f(x)={(ax+3...

    Text Solution

    |

  13. If x=acos^3theta and y=asin^3theta. Prove that 1+(dy/dx)^2=sec^2theta.

    Text Solution

    |

  14. Choose the correct answer from the bracket. If x=at^2,y=2at, then the ...

    Text Solution

    |

  15. Is the function defined by f(x)={(x+3,ifxle1),(x-3,ifx>1):} a continuo...

    Text Solution

    |

  16. Find dy/dx, if y=tan^-1((cosx-sinx)/(cosx+sinx))

    Text Solution

    |

  17. If x^(2)+2xy+2y^(2)=1, then (dy)/(dx) at the point where y=1 is equal ...

    Text Solution

    |

  18. Find the relationship between a and b so that the function f defined b...

    Text Solution

    |

  19. If x^yy^x=16, then find dy/dx at (2,2).

    Text Solution

    |

  20. Verify Lagranges' Mean value theorem for the function f(x)=2x^2-10x+29...

    Text Solution

    |