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

If a, b, c are in H.P., and α, β are the roots of the equation bcx2+ 2cax+ ab = 0, then the value of α + β + αβ is-

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

The correct option is A 0
a,b,c are in H.P
2b=1a+1c
b=2aca+c
Let α and β be the roots of bcx2+2cax+ab=0
α+β=2cabc=2ab
αβ=abbc=ac
α+β+αβ=2ab+ac
=2ac+abbc
=2ab+ac
=2a2aca+c+ac where b=2aca+c
=2a(a+c)2ac+ac
=acc+ac
=ac1+ac=1

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