If x=4aba+b, where a≠b≠0, then the value of x+2ax−2a+x+2bx−2b is (Assume that everything is defined)
A
Independent of a
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
Independent of b
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
Independent of x
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
None of these
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct options are A Independent of a B Independent of b C Independent of x x=4aba+b⟹x2a=2ba+b Applying componendo-dividendo, we get x+2ax−2a=3b+ab−a Similarly x+2bx−2b=3a+ba−b ∴x+2ax−2a+x+2bx−2b=3b+ab−a+3a+ba−b=2 So expression is independent of x, a and b Hence, options 'A', 'B' and 'C' are correct.