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

If at x=1,y=2x is tangent to the parabola y=ax2+bx+c, then respective values of a,b,c are

A
12,1,12
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
1,12,1/2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
1,1,1
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
none of these
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is C 12,1,12
If at x=1 , y=2x is a tangent to parabola y=ax2+bx+c
The respective value of a,b,c are:
At x=1,y=2
2=a+b+c.............(1)
Equation of tangent at (1,2) is
y2+22=ax+b2x+b2+cy=(2a+b)x+(b+2c2)
Comparing with y=2x
2a+b=2...........(2)
b+2c2=0.........(3)
Solve (1)(2)(3)
We get
a=12b=1c=12
Hence a,b,c are 12,1,12

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