Home
Class 12
MATHS
Find the slope of the tangent to the par...

Find the slope of the tangent to the parabola `y^2=4ax` at `(at^2,2at)`.

Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF INTEGRALS

    MAXIMUM PUBLICATION|Exercise EXAMPLE|57 Videos

Similar Questions

Explore conceptually related problems

Find the slope of the tangent to the curve y=(x-2)^2 at x=1

Find the slope of the tangent to the curve y=3x^4-4x" at "x=4

Find the equations of the tangent and normal to the parabola y^2=4ax at the point (at^2 2at) .

Find the slope of the tangent to the curve 'y=x^3-x' at 'x=2'.

Find the equation of the tangent to the parabola y^2=4x+5 which is parallel to y=2x+7 .

Find the slope of tangent line to the curve y=x^2-2x+1

Find the equations of the tangent and normal to the parabola y^2=4 a x at the point (a t^2, 2 a t)

Consider the curve y=x^2-2x+7 Find the slope of the tangent of the curve at x=2 .

Consider the curve x^(2/3)+y^(2/3)=2 Find the slope of the tangent to the curve at the point (1,1).

Consider the curve 2y=3-x^2 Find the slope of the tangent to this curve at (x_1,y_1) .

MAXIMUM PUBLICATION-APPLICATION OF DERIVATIVES-EXAMPLE
  1. Find two positive numbers such that their sum is 8 and the sum of thei...

    Text Solution

    |

  2. The slope of the tangent to the curve y=x^3-1 at x=2 is………

    Text Solution

    |

  3. Use differentiation to approximate sqrt36.6.

    Text Solution

    |

  4. Find two numbers whose sum is 24 and whose product as large as possibl...

    Text Solution

    |

  5. Show that the function x^3-3x^2+6x-5 is strictly increasing on R.

    Text Solution

    |

  6. Find the interval in which the function f(x)=sinx+cosx, 0lexle2pi is s...

    Text Solution

    |

  7. Find the slope of the normal to the curve y=sintheta at theta=pi/4

    Text Solution

    |

  8. Show that the function f(x)=x^3-6x^2+15x+4 is strictly increasing in...

    Text Solution

    |

  9. Show that all rectangles with a given perimeter, the square has the ma...

    Text Solution

    |

  10. A right circular cylinder is inscribed in a given cone of radius R cm ...

    Text Solution

    |

  11. A right circular cylinder is inscribed in a given cone of radius R cm ...

    Text Solution

    |

  12. Which of the following function is increasing for all values of x in i...

    Text Solution

    |

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

    Text Solution

    |

  14. Find the maximum profit that a company can make, if the profit functio...

    Text Solution

    |

  15. Find the slope of the tangent to the parabola y^2=4ax at (at^2,2at).

    Text Solution

    |

  16. Find the intervals in which the function x^2-2x+5 is strictly increasi...

    Text Solution

    |

  17. A spherical bubble is decreasing in volume at the rate of 2cm^3//sec. ...

    Text Solution

    |

  18. Which of the following function is always increasing? a)x+sin2x b)x-s...

    Text Solution

    |

  19. The radius of a cylinder is increasing at a rate of 1 cm//s and its he...

    Text Solution

    |

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

    Text Solution

    |