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

At what point, the slope of the tangent to the curve x2 + y2 2x 3 = 0 is zero :

A
(3, 0); (-1, 0)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
(3,0) ( 1,2)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
(-1, 0) (1,2)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
(1,2) (1, -2)
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

The correct option is D (1,2) (1, -2)
Given x2+y2 -2x -3 = 0 ......(1)
Diff. w.r.t.x, we get
2x + 2ydydx - 2 = 0
dydx=1xy
Since the slope of the tangent to the curve is zero.
dydx = 0
1 - x = 0
x = 1
Put x = 1 in equation (1), we get 1 + y2 -2 -3 = 0
y2 = 4
y = ±2
Hence required points are (1, 2) and (1, -2)

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Hydrohalogenation Anti Markovnikov
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon