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CGP EDU Academic Team
Published on: August 14, 2026
If the roots of the equation (b – c) x 2 + (c – a) x + (a – b) = 0 be equal then a, b, c are in
Text Solution
Verified by ExpertsThe correct answer is:
A
Given equation (b – c)x 2 + (c – a) x + (a – b) = 0
Putting x = 1, we get
(b – c) + (c – a ) + (a – b) = 0
So x = 1 is a root but both roots are equal so both roots are1, 1
Now sum of roots 1 + 1 = 
⇒ 2 = 
⇒ 2b – 2c = – c + a
⇒ 2b = a + c
⇒ a, b, c A.P.
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