wiz-icon
MyQuestionIcon
MyQuestionIcon
2
You visited us 2 times! Enjoying our articles? Unlock Full Access!
Question

If a, b and c are in G.P., then the quadratic equations ax2+2bx+c=0 and dx2+2ex+f=0 have a common root if da, eb, fc are in

A
A.P.
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
G.P.
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
H.P.
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 A A.P.
ax2+2bx+c=0
D=4b24ac=0 (as a, b, c are in G.P.)
equation has equal roots which are equal to ba each.

Thus, it should also be the root of dx2+2ex+f=0
d(ba)2+2e(ba)+f=0
db2a22bea+f=0
daca22bea+f=0 (as b2=ac)
da+fc=2ebac=2eb

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