If α is a repeated root of quadratic equation f(x)=0 and A(x),B(x),C(x) be polynomial of degree >2 then the determinant ∣∣
∣
∣∣A(x)B(x)C(x)A(α)B(α)C(α)A′(α)B′(α)C′(α)∣∣
∣
∣∣ is divisible by
A
A(x)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
B(x)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
C(x)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
f(x)
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution
The correct option is Df(x) Let △(x)=∣∣
∣
∣∣A(x)B(x)C(x)A(α)B(α)C(α)A(α)B(α)C(α)∣∣
∣
∣∣, then