CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

From (0,0), a tangent is drawn to the curve y=ex. Then the area bounded by the tangent, y=ex and yaxis is

A
2e
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
e
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
e2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
e21
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

The correct option is D e21

Let (a,ea) be the point where tangent touches y=ex.
Then slope at (a,ea) is ea
Equation of tangent at (a,ea) is (yea)=ea(xa)
But the tangent passes through (0,0)
a=1
So, equation of tangent is y=ex

Required area
=10(exex)dx
=[exex22]10=(ee2)e0=e21

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Methods of Solving First Order, First Degree Differential Equations
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon