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

Find the equation of the normal to the curve `y=(1+x)^y+sin^(-1)(sin^2x) at `x=0.`

Promotional Banner

Topper's Solved these Questions

  • 3D COORDINATION SYSTEM

    CENGAGE PUBLICATION|Exercise DPP 3.1|11 Videos
  • APPLICATION OF INTEGRALS

    CENGAGE PUBLICATION|Exercise All Questions|143 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the normal to the curve y=(1+x)^(y)+sin^(-1)(sin^(2)x) at x=0.

Find the equation of the normal to the curve y=|x^2-|x||a t x=-2.

Find the equations of the tangent and normal to the curve y=x^2-4x-5 at x= -2.

Find the equation of tangent to the curve y=sin^(-1)((2x)/(1+x^2)) a tx=sqrt(3)

Find the equation of the normal at the points on the curve y=(x)/(1-x^(2)) , where the tangent makes an angle 45^(@) with the axis of x.

The slope of the normal to the curve y = 2x^(2) + 3 sin x at x = 0 is

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 the tangent and normal to the curve x^(2/3)+y^((2)/(3))=2 at (1,1).

Find the equations of tangent and normal to the curve y(x-2)(x-3)-x+7=0 at the point where it meets the x-axis.

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

CENGAGE PUBLICATION-APPLICATION OF DERIVATIVES-All Questions
  1. Which of the following pairs(s) of curves is/are orthogonal? (a) y^2 ...

    Text Solution

    |

  2. find all the tangents to the curve y=cos(x+y),-2pilexle2pithat are par...

    Text Solution

    |

  3. Find the equation of the normal to the curve y=(1+x)^y+sin^(-1)(sin^2x...

    Text Solution

    |

  4. Let fa n dg be differentiable on [0,1] such that f(0)=2,g(0)=0,f(1)=6 ...

    Text Solution

    |

  5. Find the shortest distance of the point (0, c) from the parabola y=...

    Text Solution

    |

  6. The distance between the origin and the normal to the curve y=e^(2x)+x...

    Text Solution

    |

  7. Let f(x)={-x^2,for x<0; x^2+8,for xgeq0 Find x intercept of the common...

    Text Solution

    |

  8. The curve y=a x^3+b x^2+c x+5 touches the x-axis at P(-2,0) and cuts t...

    Text Solution

    |

  9. If the function f:[0,4]->R is differentiable, the show that for a , b ...

    Text Solution

    |

  10. The slope of the tangent to the curve y=sqrt(4-x^2) at the point where...

    Text Solution

    |

  11. If at each point of the curve y=x^3-a x^2+x+1, the tangent is inclined...

    Text Solution

    |

  12. If the line joining the points (0,3) and (5,-2) is a tangent to the c...

    Text Solution

    |

  13. The curve given by x+y=e^(x y) has a tangent parallel to the y-axis at...

    Text Solution

    |

  14. The number of tangents to the curve x^(3/2)+y^(3/2)=2a^(3/2),a >0, whi...

    Text Solution

    |

  15. Show that the square roots of two successive natural numbers greater ...

    Text Solution

    |

  16. If m is the slope of a tangent to the curve e^y=1+x^2, then (a)|m|>1 ...

    Text Solution

    |

  17. The angle made by the tangent of the curve x = a (t + sint cost), y = ...

    Text Solution

    |

  18. If f(x)=x^alphalogx and f(0)=0, then the value of alpha for which Ro...

    Text Solution

    |

  19. The value of ′c′ in Lagrange's mean value theorem for f(x)=x(x−2)^2 in...

    Text Solution

    |

  20. The point (s) on the curve y^3+3x^2=12y where line tangent is vertical...

    Text Solution

    |