(a) Check whether function $\text{f}(x)$ defined as $$\text{f}(x) = \begin{cases} \frac{|x - 3|}{2(x - 3)}, & x < 3 \\ \frac{x - 6}{6}, & x \ge 3 \end{cases}$$ is continuous at $x = 3$ or not ? OR (b) If $\sqrt{3}(x^2 + y^2) = 4xy$, then find $\frac{\text{d}y}{\text{d}x}$ at $\left(\frac{1}{2}, \frac{\sqrt{3}}{2}\right)$.

Year	Paper Code	Set	Position
CBSE 2026	Series 65-1	Set 1	Question 21
CBSE 2026	Series 65-1	Set 2	Question 24
CBSE 2026	Series 65-1	Set 3	Question 22

• Step 1: Stating the fundamental formula / law statement (+1 Mark)
• Step 2: Intermediate mathematical substitution or proof steps (+1 Mark)
• Step 3: Correct final value or conclusion with mandatory SI units (+1 Mark)