List I | Condition/Structure | List II Description |
---|---|---|
A | Hypokalemia | IV. Potassium |
B | Hypocapnia | II. CO2 |
C | Sudoriferous glands | I. Sweat glands |
D | Sertoli cells | III. Spermatogenesis |
If
\[ A = \{ P(\alpha, \beta) \mid \text{the tangent drawn at P to the curve } y^3 - 3xy + 2 = 0 \text{ is a horizontal line} \} \]
and
\[ B = \{ Q(a, b) \mid \text{the tangent drawn at Q to the curve } y^3 - 3xy + 2 = 0 \text{ is a vertical line} \} \]
then \( n(A) + n(B) = \)
If Rolle's Theorem is applicable for the function:
\[ f(x) = \begin{cases} x^p \log x, & x \neq 0 \\ 0, & x = 0 \end{cases} \]
on the interval \([0,1]\), then a possible value of \( p \) is: