If the roots of the equation (b - c)x^2 + (c - a)x + (a - b) = 0 are equal, then:
Type: MCQ • Marks: 1
If the roots of the equation (b - c)x^2 + (c - a)x + (a - b) = 0 are equal, then:
Options
A. 2b = a + c
B. a + b + c = 0
C. 2c = a + b
D. 2a = b + c
Explanation
For equal roots, D = 0 => (c - a)^2 - 4(b - c)(a - b) = 0. Also note sum of coefficients (b-c) + (c-a) + (a-b) = 0, so 1 is a root. Since roots are equal, product of roots = (a-b)/(b-c) = 1*1 = 1 => a - b = b - c => 2b = a + c.
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