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

If the roots of the equation 6x27x+k=0,k>3 are rational, then possible integral value(s) of k is/are

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

The correct option is D 0,1,2
If roots are rational, then
Δ0 should be a perfect square.
4924k0
k4924

For k=0
Δ=49, which is a perfect square
For k=1,
Δ=25, which is a perfect square.
For k=1,
Δ=73, not a perfect square
For k=2,
Δ=1, which is a perfect square.
For k=2,
Δ=97, not a perfect square

flag
Suggest Corrections
thumbs-up
7
Join BYJU'S Learning Program
Join BYJU'S Learning Program
CrossIcon