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Let `alpha` be the root of the equation `ax^2+bx+c=0` and `beta` be the root of the equation `ax^2-bx-c=0` where`alphaltbeta` Assertion (A): Equation `ax^2+2bx+2c=0` has exactly one root between `alpha and beta`., Reason(R): A continuous function `f(x)` vanishes odd number of times between a and b if `f(a) and f(b)` have opposite signs.

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