Question

plz ans differentiability class 12th​

Answer 1

Concept:-simply first eqaute the continuity and then eqaute the diffrentable terms

$lim \: f(x)(x = > {1}^{ + } ) =lim \: f(x)(x = > {1}^{ - } ) \\ 1 = a {(1)}^{2} + b(1) + c \\ 1 = a + b + c.........................i) \\ now \: eqauate \: the \: differentiable \: term \\ \\f(x) lim(x = > {1}^{ + }) = f(x)lim(x = > {1}^{ - } ) \\ 1 = 2ax + b + 0 \\ 1 = 2 \times a \times 1 + b \\ b = 1 - 2a \\ putting \: this \: value \: of \: b \: in \: i) \: we \: get \\ 1 = a + 1 - 2a + c \\ c = a \\ hence \: the \: triplets \: are \\ (a ,1 - 2a , a)$