Q.

The roots of the quadratic equation (a+b−2c)x2−(2a−b−c)x+(a−2b+c)=0 are

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a

a+b+c and a−b+c

b

12 and a−2b+c

c

a−2b+c and 1a+b−c

d

none of these

answer is D.

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Detailed Solution

One of the roots of the given equation is x=1, as the sum of the coefficients is zero.
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The roots of the quadratic equation (a+b−2c)x2−(2a−b−c)x+(a−2b+c)=0 are