Question

please answer this question ( please give full explanation)​

Answer 1

Answer:

$option \: (b) \: is \: correct.$

Step-by-step explanation:

$f(x) = {x}^{2} - p(x + 1) - c \\ \\ {x }^{2} - px - (p + c) = 0 \\ \\ \alpha + \beta = p \\ \\ \alpha \beta = - (p + c) \\ \\ ( \alpha + 1)( \beta + 1) = \alpha \beta + ( \alpha + \beta ) + 1 \\ \\ = - p - c + p + 1 \\ \\ = - c + 1. \\ \\ option \: (b) \: is \: correct.$