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CBSE Class 12 Math 2023 Delhi Set 1 Solved Paper

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Question : 22 of 38
Marks: +1, -0
(a) If f(x)={x2if x≥1xif x<1f(x)=\begin{cases} x^2 & \text{if } x \ge 1 \\ x & \text{if } x < 1 \end{cases}, then show that ff is not differentiable at x=1x=1.
OR
(b) Find the value(s) of ' λ\lambda ', if the function
f(x)={sin⁡2(λx)x2if x≠0 is continuous at x=0.1if x=0.f(x)=\begin{cases} \frac{\sin^2(\lambda x)}{x^2} & \text{if } x \neq 0 \text{ is continuous at } x=0. \\ 1 & \text{if } x=0. \end{cases}
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