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Mathematics · 2025 · 1 mark
CBSE 2025 · Region 7 · Set 1 · Q8
If f ( x )= {1, if x ≤ 3; ax + b, if 3< x <5; 7, if 5 ≤ x} is continuous in R, then the values of a and b are:
If $\displaystyle \mathrm{f}(\mathrm{x})=\left\{\begin{array}{clc}1, & \text { if } & \mathrm{x} \leq 3 \\ \mathrm{ax}+\mathrm{b}, & \text { if } & 3<\mathrm{x}<5 \\ 7, & \text { if } & 5 \leq \mathrm{x}\end{array}\right.$ is continuous in R , then the values of a and b are :
Official answer
(A)
$\displaystyle \mathrm{a}=3, \mathrm{~b}=-8$
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CBSE Class 12 Mathematics past-paper question from the 2025 board exam, with the answer as CBSE’s own marking scheme gives it. Where our answers come from.