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

Find the equation of the normal to the curve `y=(logx)^2` at `x=frac[1][e]`.

Promotional Banner

Topper's Solved these Questions

  • MODEL QUESTION PAPER -1

    SHARAM PUBLICATION|Exercise EXERCISE|41 Videos

  • MODEL QUESTION PAPER -16

    SHARAM PUBLICATION|Exercise EXERCISE|45 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the normal to the curve y= 2x^2 + 3 sin x at x = 0

Find the equations of the tangent and normal to the curve y= (log x)^2 at point x = 1/e .

Find the equation of the normal to the curve 5x^2+3y^2=23 at (2,-1)

Find the equation of normal to the curve 3y^2=16x at (3,4).

Find the equations of tangent and normal to the curve y= e^(x) at x= 0.

Find the slope of the normal to the curve y=xe^-x at x=2.

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

Find the equation of normal to the circle x^2+y^2 = 5 at (2,1).

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

SHARAM PUBLICATION-MODEL QUESTION PAPER -15-EXERCISE
  1. If cos y = x cos(a+y) then prove that dy/dx = (cos^2(a+y))/sin a

    Text Solution

    |

  2. If y^2cot x = x^2 coty then find (dy)/(dx)

    Text Solution

    |

  3. Find the equation of the normal to the curve y=(logx)^2 at x=frac[1][e...

    Text Solution

    |

  4. Find two positive numbers whose product is 256 and whose sum is least.

    Text Solution

    |

  5. Integrate:inta/(b+ce^x)dx

    Text Solution

    |

  6. Integrate:int sec(sqrtx)/(sqrtx)dx

    Text Solution

    |

  7. Prove that int0^(pi/2)(sin^nx)/(sin^nx+cos^nx)dx=pi/4

    Text Solution

    |

  8. Find the area bounded by y=sinx,y=0,x=pi/2

    Text Solution

    |

  9. Solve : (x+y)dy +(x-y)dx = 0.

    Text Solution

    |

  10. If hati +hatj+hatk and 2hati -alphahatj+3hatk are orthogonal to each o...

    Text Solution

    |

  11. If the magnitude of the difference of two unit vectors is sqrt3 then f...

    Text Solution

    |

  12. Find the equation of the plane Paralel to the plane 2x-y+3z+1=0 and at...

    Text Solution

    |

  13. If veca=2vecb and vecc=-3vecb, then what is the angle between veca and...

    Text Solution

    |

  14. If l1,m1,n1andl2,m2,n2 are the direction cosines of two mutually perpe...

    Text Solution

    |

  15. Find the value of k for which f(x)={{:((sqrt(1+kx)-sqrt(1-kx))/(x)", ...

    Text Solution

    |

  16. Find the derivative of ((x-1)/(x^2+5))^-4 cos^-1((1-x^2)/(1+x^2))

    Text Solution

    |

  17. Use the function f(x) = x^(1/x),x gt 0 to show that e^pi )grt pi^e.

    Text Solution

    |

  18. Find the area enclosed by y=4x-1 and y^(2)=2x.

    Text Solution

    |

  19. If [[x,x^2,x^3-1],[y,y^2,y^3-1],[z,z^2,z^3-1]]=0 then prove that xyz...

    Text Solution

    |

  20. Show that the inverse of a bijective function is unique.

    Text Solution

    |