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

In the quadratic equation ax2+bx+c=0,Δ=b24ac and α+β,α2+β2,α3+β3, are in G.P. where α,β are the root of ax2+bx+c=0, then

A
Δ0
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
bΔ=0
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
cΔ=0
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
Δ=0
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is C cΔ=0
In the quadratic equation ax2+bx+c=0
Δ=b24ac and α+β=ba.αβ=caα2+β2=(α+β)22αβ=b2a22ca=b22aca2and α3+β3=b3a33ca(ba)=(b33abca3)Given α+β,α2+β2,α3+β3 are in G.P.ba,b22aca2,(b33 abc)a3 are in G.P.(b22aca2)2=ba(b33abca3)b4+4a2c24ab2c=b43ab2c4a2c2ab2c=0acΔ=0cΔ=0(In quadratic a 0)

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