wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

If a tangent to the curvey=2+4x+1 has slope 2/5 at a point, then the point is


A

(0,2)

No worries! We‘ve got your back. Try BYJU‘S free classes today!
B

(3/4,4)

No worries! We‘ve got your back. Try BYJU‘S free classes today!
C

(2,5)

No worries! We‘ve got your back. Try BYJU‘S free classes today!
D

(7,6)

No worries! We‘ve got your back. Try BYJU‘S free classes today!
E

(6,7)

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

The correct option is E

(6,7)


Finding the point :

Given curve y=2+4x+1 has slope 2/5.

dydx=12(4x+1)×4dydx=2(4x+1)25=2(4x+1)4x+1=25x=6

Put x=6in the given curve

y=2+25y=2+5y=7

Thus required point is (6,7)

Hence, the correct option is E.


flag
Suggest Corrections
thumbs-up
2
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Chords and Pair of Tangents
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon