Home
Class 12
MATHS
Find the equation of the normal to the c...

Find the equation of the normal to the curve `x^(2)` = 4y which passes through the point (1, 2).

Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    NCERT TAMIL|Exercise EXERCISE 6.1|18 Videos

  • APPLICATION OF DERIVATIVES

    NCERT TAMIL|Exercise EXERCISE 6.2|23 Videos

  • APPLICATION OF INTEGRALS

    NCERT TAMIL|Exercise Miscellaneous Exercise|19 Videos

Similar Questions

Explore conceptually related problems

Find the equation of tangents of the parabola y^2=12 x , which passes through the point (2, 5).

Find the equation of the normals to the curve y = x^(3) + 2x + 6 which are parallel to the line x + 14y + 4 = 0.

Find the equations of tangent and normal to the curve y=x^(2) - 2x -3 at the point (2, 3)

Find the equation of the tangent to the parabola 9x^2+12 x+18 y-14=0 which passes through the point (0, 1).

Find the equation of the curve whose slope is (y-1)/(x^(2)+x) and which passes through the point (1,0).

Find the equation of chord of the circle x^(2)+y^(2)-2x-4y-4=0 passing through the point (2,3) which has shortest length.

Find the equations of tangent and normal to the curve y=x^(2)+3x-2 at the point (1, 2). .

Find equation of the line parallel to the line 3x - 4y + 2 = 0 and passing through the point (-2, 3) .

NCERT TAMIL-APPLICATION OF DERIVATIVES-EXERCISE 6.6
  1. Find the equation of the normal to the curve x^(2) = 4y which passes t...

    Text Solution

    |

  2. Using differentials, find the approximate value of each of the followi...

    Text Solution

    |

  3. Show that the function given by f(x) =(logx)/(x) has maximum at x = e.

    Text Solution

    |

  4. The two equal sides of an isosceles triangle with fixed base b are dec...

    Text Solution

    |

  5. Find the equation of the normal to the curve x^(2) = 4y which passes t...

    Text Solution

    |

  6. Show that the normal at any point θ to the curve x = a costheta + a th...

    Text Solution

    |

  7. Find the intervals in which the function f given by f(x) = (4sin x-2...

    Text Solution

    |

  8. Find the intervals in which the function f given by f(x) =x^(3) +(1)/(...

    Text Solution

    |

  9. The area enclosed by the ellipse (x^(2))/(a^(2)) + (y^(2))/(b^(2)) = 1...

    Text Solution

    |

  10. A tank with rectangular base and rectangular sides, open at the top is...

    Text Solution

    |

  11. The sum of the perimeter of a circle and square is k, where k is some ...

    Text Solution

    |

  12. A window is in the form of a rectangle surmounted by a semicircular op...

    Text Solution

    |

  13. A point on the hypotenuse of a triangle is at distance a and b from th...

    Text Solution

    |

  14. Find the points at which the function f given by f (x) = (x-2)^(4)(x+1...

    Text Solution

    |

  15. Find the absolute maximum and minimum values of the function f given b...

    Text Solution

    |

  16. Show that the altitude of the right circular cone of maximum volume th...

    Text Solution

    |

  17. Let f be a function defined on [a, b] such that f ′(x) gt 0, for all x...

    Text Solution

    |

  18. Show that the height of the cylinder of maximum volume that can be ins...

    Text Solution

    |

  19. Show that height of the cylinder of greatest volume which can be inscr...

    Text Solution

    |

  20. A cylindrical tank of radius 10 m is being filled with wheat at the ra...

    Text Solution

    |

  21. The slope of the tangent to the curve x=t^(2)+3t-8,y=2t^(2)-2t-5 at th...

    Text Solution

    |