Home
Class 12
MATHS
Point A lies on curve y = e^(-x ^(2)) an...

Point A lies on curve `y = e^(-x ^(2))` and has the coordinates `(x, e ^(-x ^(2)))` where `x gt 0` Point B has coordinates (x,o) If 'O' is the origin, then the maximum area of `Delta AOB` is :

A

`(1)/(sqrt(2e))`

B

`(1)/(sqrt(4e))`

C

`(1)/(sqrt(e))`

D

`(1)/(sqrt(8e))`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    AAKASH INSTITUTE ENGLISH|Exercise Assignment SECTION-B( Objective Type Questions ( One option is correct ))|31 Videos

  • APPLICATION OF DERIVATIVES

    AAKASH INSTITUTE ENGLISH|Exercise Assignment SECTION-C( Objective Type Questions ( More than one option are correct ))|1 Videos

  • APPLICATION OF DERIVATIVES

    AAKASH INSTITUTE ENGLISH|Exercise TRY YOURSELF|39 Videos

  • APPLICATION OF INTEGRALS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment Section - I Aakash Challengers Questions|2 Videos

Similar Questions

Explore conceptually related problems

Point A lies on the curve y = e^(x^2) and has the coordinate (x,e^(-x^2)) where x>0. Point B has the coordinates (x, 0). If 'O' is the origin, then the maximum area of the DeltaAOB is

Point O has coordinates (0, 0), point P lies on the graph of y = 6-x^(2) , and point B has coordinates (2sqrt(3),0) . If OP = BP , the area of triangle OPB is

The area enclosed between the curve y = log_e (x +e ) and the coordinate axes is

The coordinates of the image of the origin O with respect to the line x+y+1=0 are

If the length of sub-normal is equal to the length of sub-tangent at any point (3,4) on the curve y=f(x) and the tangent at (3,4) to y=f(x) meets the coordinate axes at Aa n dB , then the maximum area of the triangle O A B , where O is origin, is 45/2 (b) 49/2 (c) 25/2 (d) 81/2

If the length of sub-normal is equal to the length of sub-tangent at any point (3,4) on the curve y=f(x) and the tangent at (3,4) to y=f(x) meets the coordinate axes at Aa n dB , then the maximum area of the triangle O A B , where O is origin, is 45/2 (b) 49/2 (c) 25/2 (d) 81/2

Find the coordinates of the point of inflection of the curve f(x) =e^(-x^(2))

Find the points on the curve y=x^3 where the slope of the tangent is equal to x-coordinate of the point.

For the curve y=x e^x , the point

The coordinates of the point P are (-3,\ 2) . Find the coordinates of the point Q which lies on the line joining P and origin such that O P=O Q .

AAKASH INSTITUTE ENGLISH-APPLICATION OF DERIVATIVES-Assignment SECTION-A (Competition Level Questions)
  1. suppose x1, and x2 are the point of maximum and the point of minimum r...

    Text Solution

    |

  2. Point A lies on curve y = e^(-x ^(2)) and has the coordinates (x, e ^(...

    Text Solution

    |

  3. The radius of a right circular cylinder increases at the rate of 0.1 ...

    Text Solution

    |

  4. The number of points of maxima/minima of f(x) =x(x + 1) (x +2) (x + 3...

    Text Solution

    |

  5. Find the difference between the greatest and least values of the fun...

    Text Solution

    |

  6. If a variable tangent to the curve x^2y=c^3 makes intercepts a , bonx-...

    Text Solution

    |

  7. Difference between the greatest and the least values of the function f...

    Text Solution

    |

  8. If the sum of the lengths of the hypotenuse and another side of a righ...

    Text Solution

    |

  9. Let C be the curve y=x^3 (where x takes all real values). The tangent ...

    Text Solution

    |

  10. The interval on which f(x)=2x^(3)+9x^(2)+12x-1 is decreasing in

    Text Solution

    |

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

    Text Solution

    |

  12. Divide 64 into two parts such that the sum of the cubes of two parts...

    Text Solution

    |

  13. If f(x)=x^5-5x^4+5x^3-10 has local maximum and minimum at x=p and x=q ...

    Text Solution

    |

  14. A point on the parabola y^2=18 x at which the ordinate increases at tw...

    Text Solution

    |

  15. The real number x when added to its inverse given the minimum value of...

    Text Solution

    |

  16. Which of the following statement is true for the function f(x)={{:(sqr...

    Text Solution

    |

  17. The function f(x)=x^(3)-3x is

    Text Solution

    |

  18. If f(x)=x^(3)+x^(2)+kx+4 is always increasing then least positive int...

    Text Solution

    |

  19. A curve is represented by the equations x=sec^2ta n dy=cott , where t ...

    Text Solution

    |

  20. Statement 1: For all a ,b in R , the function f(x)=3x^4-4x^3+6x^2+a x...

    Text Solution

    |