✓ Board-verified
Mathematics · 2025 · 1 mark
CBSE 2025 · Region 5 · Set 1 · Q5
If f(x)= {(sin^2 a x)/(x^2), x ≠ 0; 1, x=0} is continuous at x=0, then the value of a is:
If $\displaystyle f(x)=\left\{\begin{array}{cc}\frac{\sin ^{2} a x}{x^{2}}, & x \neq 0 \\ 1, & x=0\end{array}\right.$ is continuous at $\displaystyle x=0$, then the value of $\displaystyle a$ is :
Official answer
(C)
$\displaystyle \pm 1$
All Continuity and Differentiability questions2025 question paperNCERT solutions: Continuity and DifferentiabilityPractice Continuity and Differentiability →
More from Continuity and Differentiability
- The derivative of sin (x^2) w.r.t. x, at x=√π is:2024
- The value of k for which function f(x)= {x^2, x ≥ 0; kx, x<0} is differentiable at x=0 is:2023
- Differentiate y=√(log { sin ((x^3)/3-1)}) with respect to x.2025
- If y=(cos x- sin x)/(cos x+ sin x), then (d y)/(d x) is:2023
- If f(x)= {(log (1+a x)+ log (1-b x))/x, for x ≠ 0; k, for x=0} is continuous at x=0, then the value of k is:2025
- Differentiate sec^-1(1/(√(1-x^2))) w.r.t. sin^-1(2 x √(1-x^2)). OR If y= tan x+ sec x, then prove that (d^2 y)/(d x^2)=(cos x)/((1- sin x)^2).2023
- If f(x)= {(x^2-4 x-5)/(x+1), x ≠-1; k, x=-1} is continuous at x=-1, then the value of k is:2026
- Verify whether the function f defined by is continuous at x=0 or not. OR Check for differentiability of the function f defined by f(x)=|x-5|, at the…2024
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.