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

The differential equation of the family of straight lines whose slope is equal to y-intercept, is


A

(x+1)dydxy=0

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B

(x+1)dydx+y=0

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

dydx=(x-1)(y-1)

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

dydx=(x+1)(y+1)

No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A

(x+1)dydxy=0


Explanation for the correct option:

Given, slope is equal to y-intercept

General equation of straight line is: y=mx+c

Given m=c ( as slope is equal to y-intercept)

Therefore, the equation becomes

y=cx+c1

On differentiating with respect to x,

dydx=cy1=cdydx=y1

On substituting y1=c=m in equation 1 we get,

y=y1x+y1x+1y1-y=0x+1dydx-y=0

Hence the correct answer is option (A)


flag
Suggest Corrections
thumbs-up
3
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Basic Concepts
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon