List of top Mathematics Questions asked in CBSE Class XI

If in two circles, arcs of the same length subtend angles 60° and 75° at the centre, find the ratio of their radii.
Find the degree measure of the angle subtended at the centre of a circle of radius 100 cm by an arc of length 22 cm \((Use\,{\pi}=\frac{22}{7}).\)
A wheel makes 360 revolutions in one minute. Through how many radians does it turn in one second?

Find the degree measures corresponding to the following radian measures \((\text{Use }π=\frac{22}{7}).\)

\(\text{(i) }\frac{11}{16} \,\text{(ii)} -4 \,\text{(iii)}\,\frac{5π}{3}\, \text{(iv)}\, \frac{7π}{6}.\)

If A = {-1, 1}, find A x A x A.
State whether each of the following statement are true or false. If the statement is false, rewrite the given statement correctly.
(i) If P = {m, n} and Q = {n, m}, then P x Q = {(m, n), (n, m)}.
(ii) If A and B are non-empty sets, then A x B is a non-empty set of ordered pairs (x, y) such that x ∈ A and y ∈ B.
(iii) If A = {1, 2}, B = {3, 4}, then A x (B ∩ Φ) = Φ.
If G = {7, 8} and H = {5, 4, 2}, find G x H and H x G.
If \((\frac {x}{3}+1, \frac {y-2}{3}) = (\frac {5}{3}, \frac {1}{3})\), Find the value of x and y.
If the set A has 3 elements and the set B = {3, 4, 5}, then find the number of elements in (A x B)?

Find the radian measures corresponding to the following degree measures (i) 25° (ii) - 47° 30' (iii) 240° (iv) 520°