Find the values of a and b such that the defined byf-x- - - 5- x leq 2 ax -b- 2 -x - 10 21- x geq 10is continuous function-

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Standard XII

Mathematics

Question

Find the values of a and b such that the function defined by
$f (x) = {5,$ if $x \leq 2$
$a x + b,$ if $2 < x < 10$
$21,$ if $x \geq 10$
is continuous function.

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Find the values of a and b such that the function defined by
$f (x) = {5,$ if $x \leq 2$
$a x + b,$ if $2 < x < 10$
$21,$ if $x \geq 10$
is continuous function.