List of practice Questions

Phase difference between voltage and current in a capacitor in an ac circuit is

Antifertilizin or bindin is present over the sperm in the region of

Two charges 5 × 10^–8 C and –3 × 10^–8 C are located 16 cm apart. At what point(s) on the line joining the to charges is the electric potential zero? Take the potential at infinity to be zero.

Let A = [1, 2, 3, 4, 5], m be the number of relations such as 4x ≤ 5y XRY and n be the minimum number of elements to be added from A × A to make a symmetric relation. Then the value of n + m.

$0.833$ mole of a carbohydrate with empirical formula $CH_{2}O$ , has $10\, g$ of hydrogen. Molecular formula of the carbohydrate is

Let $q$ be the maximum integral value of $p$ in $[0,10]$ for which the roots of the equation $x^2-p x+\frac{5}{4} p=0$ are rational Then the area of the region $\left\{(x, y): 0 \leq y \leq(x-q)^2, 0 \leq x \leq q\right\}$ is

Match the organisms in Column A with their action in Column B.

Compute the indicated products \((i)\begin{bmatrix}a&b\\-b&a\end{bmatrix}\begin{bmatrix}a&-b\\b&a\end{bmatrix}\)\((ii)\begin{bmatrix}1\\2\\3\end{bmatrix}\begin{bmatrix}2&3&4\end{bmatrix}\)\((iii)\begin{bmatrix}1&-2\\2&3\end{bmatrix}\begin{bmatrix}1&2&3\\2&3&1\end{bmatrix}\)\((iv)\begin{bmatrix}2&3&4\\ 3&4&5\\ 4&5&6\end{bmatrix}\begin{bmatrix}1&-3&5\\ 0&2&4\\ 3&0&5\end{bmatrix}\)
\((v)\begin{bmatrix}2&1\\3&2\\-1&1\end{bmatrix}\begin{bmatrix}2&-3\\1&0\\3&1\end{bmatrix}\)\((vi)\begin{bmatrix}3&-1&3\\-1&0&2\end{bmatrix}\begin{bmatrix}2&-3\\1&0\\3&1\end{bmatrix}\)

The value of $ ^{49}C_3 ^{48}C_3 ^{47}C_3 ^{46}C_3 ^{45}C_3 ^{45}C_4 $ is

Define the term solution. How many types of solutions are formed? Write briefly about each type with an example.

Using the number line write the integer which is :
(a) 3 more than 5
(b) 5 more than –5
(c) 6 less than 2
(d) 3 less than –2

List the things that cause suffering and pain.

If ΔABC is right angled at C, then the value of tan A + tan B is