Correct Answer - C
`(c )` ` (a^(2)+b^(2))x^(2)-2b(a+c)x+b^(2)+c^(2)=0`
`D=4b^(2)(a+c)^(2)-4(a^(2)+b^(2))(b^(2)+c^(2))`
`=-4(b^(4)-2b^(2)ac+a^(2)c^(2))`
`=-(n^(2)-ac)^(2)`
For real roots, `D ge 0`
`implies -4(b^(2)-ac)^(2) ge 0`
`implies b^(2)-ac=0`
`implies` Roots are real and equal.
`:.` Roots...