Home
Class 12
MATHS
The distance between the origin and the ...

The distance between the origin and the normal to the curve `y=e^(2x)+x^(2)` at `x=0` is

A

2

B

`2/sqrt3`

C

`2/sqrt5`

D

`1/2`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    TARGET PUBLICATION|Exercise EVALUATION TEST|20 Videos

  • APPLICATIONS OF DERIVATIVES

    TARGET PUBLICATION|Exercise CRITICAL THINKING|129 Videos

  • APPICATIONS OF DEFINITE INTEGRAL

    TARGET PUBLICATION|Exercise EVALUATION TEST|18 Videos

  • BINOMIAL DISTRIBUTION

    TARGET PUBLICATION|Exercise EVALUTION TEST|12 Videos

Similar Questions

Explore conceptually related problems

The distance between the point (1 1) and the normal to the curve y=e^(2x)+x^(3) at x=0 is

The distance between the origin and the tangent to the curve y=e^(2x)+x^(2) drawn at the point x=0 is

Find the distance between the point (1, 1) and the tangent to the curve y = e^(2x) + x^(2) drawn from the point x = 0.

The distance betwcen the point (1, 1) and the tangent to the curve y= e^(2x) +x^(2) drawn from the point x =0 is

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

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

The slope of the normal to the curve y=x ^(2) +2e^(x) + 2 at (0,4) is

Find the equation of the normal to the curve y=|x^(2)-|x||atx=-2

The equation of the normal to the curve y=(1+x)^(2y)+cos^(2)(sin^(-1)x) at x=0 is :

TARGET PUBLICATION-APPLICATIONS OF DERIVATIVES-COMPETITIVE THINKING
  1. The equation to the tangent to (x/a)^n + (y/b)^n = 2 at (a,b)

    Text Solution

    |

  2. The equation of the tangent to the curve x=2cos^(3) theta and y=3sin^(...

    Text Solution

    |

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

    Text Solution

    |

  4. IF the slope of the tangent to the circle S=x^2+y^2-13=0 at (2,3) is m...

    Text Solution

    |

  5. The normal to the curve x=a(cos theta + theta sin theta), y=a(sin thet...

    Text Solution

    |

  6. The normal to the curve y=x^2-x+1 drawn at the points with the absciss...

    Text Solution

    |

  7. The normal to the curve x^(2)+2xy-3y^(2)=0, at (1,1)

    Text Solution

    |

  8. The sum of the intercepts made on the axes of coordinates by any tange...

    Text Solution

    |

  9. Let P be any point on the curve x^(2//3)+y^(2//3)=a^(2//3). Then the...

    Text Solution

    |

  10. Angle between the tangents to the curve y=x^2-5x+6 at the points (2,0)...

    Text Solution

    |

  11. The angle between the curves y=sin x and y = cos x, 0 lt x lt (x)/(2),...

    Text Solution

    |

  12. Let y=e^(x^2) and y=e^(x^2) sin x be two given curves . Then the angle...

    Text Solution

    |

  13. If the curves y^2=6x, 9x^2+by^2=16 intersect each other at right angle...

    Text Solution

    |

  14. A body moves according to the formula v=l+t^2, where V is the velocity...

    Text Solution

    |

  15. A point moves in the straight line during the time t=0 to t=3 accordin...

    Text Solution

    |

  16. A particle moves in a straight line in such a way that its velocity at...

    Text Solution

    |

  17. Displacment x of a particle at time t is given by x=At^(2)+Bt+C, where...

    Text Solution

    |

  18. IF t=v^2/2, then (-(df)/(dt)) is equal to , (where f is acceleration...

    Text Solution

    |

  19. If the displacement velocity and acceleration of a particle at time t ...

    Text Solution

    |

  20. If the law of motion in a straight line is s=(1)/(2)vt, then accelerat...

    Text Solution

    |