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)/(sqrt8e)`

B

`(1)/(sqrt4e)`

C

`(1)/(sqrt2e)`

D

`(1)/(sqrte)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • AREA UNDER CURVES

    VK JAISWAL ENGLISH|Exercise EXERCISE (ONE OR MORE THAN ONE ANSWER IS/ARE CORRECT)|4 Videos

  • AREA UNDER CURVES

    VK JAISWAL ENGLISH|Exercise EXERCISE (COMPREHENSION TYPE PROBLEMS)|6 Videos

  • APPLICATION OF DERIVATIVES

    VK JAISWAL ENGLISH|Exercise EXERCISE (SUBJECTIVE TYPE PROBLEMS)|22 Videos

  • BIONMIAL THEOREM

    VK JAISWAL ENGLISH|Exercise Exercise-4 : Subjective Type Problems|16 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 .