Home
Class 12
MATHS
Find the distance between the point (1, ...

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.

A

`(1)/(sqrt(5))`

B

`(2)/(sqrt(5))`

C

`(3)/(sqrt(5))`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    DISHA PUBLICATION|Exercise EXERCISE - 2|30 Videos
  • APPLICATION OF DERIVATIVES

    DISHA PUBLICATION|Exercise EXERCISE - 2|30 Videos
  • APPLICATION OF INTEGRALS

    DISHA PUBLICATION|Exercise EXERCISE-2: CONCEPT BUILDER|30 Videos

Similar Questions

Explore conceptually related problems

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 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

The tangent to the curve y = e^(2x) at the point (0,1) meets x - axis at :

The tangent to the curve y=e^(2x) at the point (0,1) meets X-axis at

Find the equations of tangent to the curve y=x^(4) which are drawn from the point (2,0).

Find the length of the tangent for the curve y=x^(3)+3x^(2)+4x-1 at point x=0.

Find an equation of the tangent line to the curve y=e^(x)//(1+x^(2)) at the point (1,e//2)

DISHA PUBLICATION-APPLICATION OF DERIVATIVES -EXERCISE - 1
  1. What is the x coordinate of the point on the curve f(x)=sqrt(x)(7x-6) ...

    Text Solution

    |

  2. The slope of the tangent to the curves x=3t^2+1,y=t^2-1 at t=1 is

    Text Solution

    |

  3. Find the distance between the point (1, 1) and the tangent to the curv...

    Text Solution

    |

  4. If OT is the perpendicular drawn from the origin to the tangent at any...

    Text Solution

    |

  5. Determine p such that the length of the such-tangent and sub-normal is...

    Text Solution

    |

  6. The angle at which the curve y=ke^(kx) intersects Y-axis is

    Text Solution

    |

  7. The angle of intersection of the curves y=x^(2), 6y=7-x^(3) at (1, 1),...

    Text Solution

    |

  8. If the curves (x^(2))/(a^(2)) + (y^(2))/(12) = 1 and y^(3) = 8x inters...

    Text Solution

    |

  9. The two curves x^3-3xy^2+2=0 and 3x^2y-y^3-2=0

    Text Solution

    |

  10. Show the condition that the curves a x^2+b y^2=1 and a^(prime)x^2+b^(p...

    Text Solution

    |

  11. The normal to the curve x^2=4ypassing (1,2) is(A) x + y = 3 (B) x y ...

    Text Solution

    |

  12. The shortest distance between the lines y-x=1 and the curve x=y^2 is

    Text Solution

    |

  13. If curve x^2=9a(9-y) and x^2=a(y+1) intersect orthogonally then value ...

    Text Solution

    |

  14. The function f(x)=cot^(-1)x+x increases in the interval (a) (1,\ oo) ...

    Text Solution

    |

  15. If f(x) = cos x, then

    Text Solution

    |

  16. The function f(x)=(asinx+b cosx)/(c sinx+d cos x) is decreasing, if

    Text Solution

    |

  17. Show that the equation x^5-3x-1=0\ has a unique root in [1,2] .

    Text Solution

    |

  18. Find the interval in which the function f(x) =cos^(-1) ((1-x^(2))/(1+x...

    Text Solution

    |

  19. If f(x)=xsqrt(ax-x^2) for a>0, then f(x) is

    Text Solution

    |

  20. The function f(x)=[x(x-2)]^2 is increasing in the set

    Text Solution

    |