Home
Class 12
MATHS
The tangent to the curve yt=xe^(x^2) pas...

The tangent to the curve `yt=xe^(x^2)` passing through the point (1,e) also passes through the point

A

(3,6e)

B

(2,3e)

C

`(4/3,2e)`

D

`(5/3,2e)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL CALCULUS 2

    VMC MODULES ENGLISH|Exercise Level -2|69 Videos

  • DIFFERENTIAL CALCULUS 2

    VMC MODULES ENGLISH|Exercise Numerical ValueType for JEE Main|14 Videos

  • DIFFERENTIAL CALCULUS 2

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|81 Videos

  • DIFFERENTIAL CALCULUS

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|75 Videos

  • DIFFERENTIAL EQUATIONS

    VMC MODULES ENGLISH|Exercise JEE ADVANCE (ARCHIVE )|32 Videos

Similar Questions

Explore conceptually related problems

The tangent to the curve y=xe^(x^2) passing through the point (1,e) also passes through the point

The tangent to the curve y=x^2-5x+5. parallel to the line 2y=4x+1, also passes through the point :

Plot the points (3,\ 5)a n d\ (-1,\ 3) on a graph paper and verify that the straight line passing through these points also passes through the point (1,\ 4)dot

Given the curves y=f(x) passing through the point (0,1) and y=int_(-oo)^(x) f(t) passing through the point (0,(1)/(2)) The tangents drawn to both the curves at the points with equal abscissae intersect on the x-axis. Then the curve y=f(x), is

The circle passing through the point (-1,0) and touching the y-axis at (0,2) also passes through the point:

For the curve y=4x^3-2x^5, find all the points at which the tangent passes through the origin.

Curves y=f(x) passing through the point (0,1) and y=int_-oo^x f(t) dt passing through the point (0,1/n) are such that the tangents drawn to them at the point with equal abscissae intersect on x-axis. Answer the question:The equation of curve y=f(x)

Curves y=f(x) passing through the point (0,1) and y=int_-oo^x f(t) dt passing through the point (0,1/n) are such that the tangents drawn to them at the point with equal abscissae intersect on x axis. find Curve y=f(x)

Curves y=f(x) passing through the point (0,1) and y=int_-oo^x f(t) dt passing through the point (0,1/n) are such that the tangents drawn to them at the point with equal abscissae intersect on x axis

For the curve y=4x^3-2x^5, find all the points at which the tangents pass through the origin.

VMC MODULES ENGLISH-DIFFERENTIAL CALCULUS 2-Level -1
  1. An inverted cone has a depth of 10 cm and a base of radius 5 cm. Wa...

    Text Solution

    |

  2. A point source of light along a straight road is at a height of 'a' me...

    Text Solution

    |

  3. The tangent to the curve yt=xe^(x^2) passing through the point (1,e) a...

    Text Solution

    |

  4. If p1 and p2 be the lengths of perpendiculars from the origin on the ...

    Text Solution

    |

  5. In the curve x= a (cos t+ log tan(t/2)), y =a sin t. Show that the por...

    Text Solution

    |

  6. If the normal at the point t1 to the rectangular hyperbola xy=c^(2) me...

    Text Solution

    |

  7. The normal to the curve 5x^(5)-10x^(3)+x+2y+6 =0 at P(0, -3) meets the...

    Text Solution

    |

  8. If y=4x-5 is a tangent to the curve y^(2)=px^(3) +q at (2, 3), then

    Text Solution

    |

  9. The point on the curve y=x^(3) at which the tangent to the curve is pa...

    Text Solution

    |

  10. If the tangent at any point P on the curve x^m y^n = a^(m+n), mn != 0...

    Text Solution

    |

  11. Find the slope of the normal to the curve x = a cos^(3) theta, y = a s...

    Text Solution

    |

  12. about to only mathematics

    Text Solution

    |

  13. Show the condition that the curves a x^2+b y^2=1 and Ax^2+By^2=1 shoul...

    Text Solution

    |

  14. The length of the normal to the curve y=a((e^(-x//a)+e^(x//a))/(2)) at...

    Text Solution

    |

  15. Find the angle of intersection of y=a^xa n dy=b^x

    Text Solution

    |

  16. Find the euation of normal to the curve x=a( cos theta + theta sin th...

    Text Solution

    |

  17. The curve y-e^(xy)+x=0 has a vertical tangent at the point:

    Text Solution

    |

  18. The function x-(log(1+x)/x)(x>0) is increasing in:

    Text Solution

    |

  19. Let f(x) =cos (cos x). Then which one is not correct?

    Text Solution

    |

  20. Let f(x)=x-1/2 log (x^(2)+1). Then f' (x) is :

    Text Solution

    |