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Mathematics · 2024 · 1 mark
CBSE 2024 · Region 4 · Set 2 · Q7
The value of constant c that makes the function f defined by f (x)= {x^2- c^2, if x<4; c x+20, if x ≥ 4} continuous for all real numbers is:
The value of constant c that makes the function f defined by \[\mathrm{f}(x)= \begin{cases}x^{2}-\mathrm{c}^{2}, & \text { if } x<4 \\ \mathrm{c} x+20, & \text { if } x \geq 4\end{cases} \] continuous for all real numbers is :
Official answer
(A)
$\displaystyle -2$
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CBSE Class 12 Mathematics past-paper question from the 2024 board exam, with the answer as CBSE’s own marking scheme gives it. Where our answers come from.