Question

is question ka solution batana. answer to mujhe bhi pata hai ​

Answer 1

Answer:

$\boxed{\huge{d) \: None \: of \: these}}$

Step-by-step explanation:

$\bold{Given }\longrightarrow \: \: \: \\ |x - 1| = cosx$

$\bold{To \: find}\longrightarrow \\ number\: of \: solution$

$\bold{Concept \: used}\longrightarrow \\ if \\ |x - a| = 0 \: \\ then \: if \: x \geqslant a \\ = > x - a = 0 \\ and \: if \: x < a \\ = > - (x - a) = 0$

$\bold{Soution}\longrightarrow \: \\ |x - 1| = cosx \\ if \: x \geqslant 1 \\ = > x - 1 = cosx \\ clearly \: no \: value \: of \: x > 1 \\ satisfy \: this \: eqution \\ if \: x < 1 \\ - (x - 1) = cosx \\ = > - x + 1 = cosx \\ = > x = 1 - cosx \\ only \: x = 0 < 1 \: satisfy \: this \: equation \\ so \: there \: is \: only \: one \: solution \: of \: this \: equation \\ \bold{Verificaion}\longrightarrow \\ 1 - cos0 = 0 \\ = > 1 - 1 = 0 \\ = > 0 = 0 \\ which \: is \: true \: so \: there \\ is \: only \: one \: solution \: of \: given \: equation$