Jee Main 2025 — Medium JEE math MCQ
If the function $f(x) = \begin{cases} \frac{2}{x} \sin (k_1 x + k_2 - 1) x, & x < 0 \\ 4, & x = 0 \\ \frac{2}{x} \log_e (\frac{2 + k_2 x}{2 + k_2 x}), & x > 0 \end{cases}$ is continuous at $x = 0$, then $k_1^2 + k_2^2$ is equal to
- A. 20 -
- B. 5 -
- C. 8 -
- D. 10
Solution
The correct option is **D**. (D. 10)
