If λ∈R is such that the sum of the cubes of the roots of the equation, x2+(2−λ)x+(10−λ)=0 is minimum, then the magnitude of the difference of the roots of this equation is :
A
2√5
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
20
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
2√7
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
4√2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct option is A2√5 Sum of the roots: α+β=λ−2