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

If and β are roots of x2 + ax - b = 0 and γ, δ​ arethe roots of x2 + ax + b = 0, then (α-γ) (β-δ) (α-δ) (β-γ)


A

2b

No worries! We‘ve got your back. Try BYJU‘S free classes today!
B

2b2

No worries! We‘ve got your back. Try BYJU‘S free classes today!
C

4b2

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D

b

No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is C

4b2


α+β= -a , αβ= -b , γ+δ=-a γδ=b

therefore (α-γ) (β-δ) (α-δ) (β-γ)

=[ αβ-(α+β)γ+γ2][αβ-(α+β)δ+δ2]

(-b+aγ+γ2)(-b+aδ+δ2)

=(-b-b)(-b-b)=4b2


flag
Suggest Corrections
thumbs-up
5
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Basic Concepts
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon