Let A = {1, 2} and B = {1, 2, 3, 4}, C = {5, 6} and D = {5, 6, 7, 8}, Verify whether A x C is a subset of B x D?

A functionf: (1,6) \(\rightarrow\)R is defined as follows:

Find the value of f(2) - f( 4).

Show that 107 is of the form 4q +3 for any integer q.

Discuss the nature of solutions of the following quadratic equations.
x² + 2x + 5 = 0

Graph the following quadratic equations and state their nature of solutions.
x² - 9 = 0

Find two consecutive natural numbers whose product is 20.

Construct a \(\triangle\)PQR such that QR = 6.5 cm,\(\angle\)P = 60^oand the altitude from P to QR is of length 4.5 cm.

Find the area of the quadrilateral whose vertices, taken in order, are (-4, -2), (-3, -5), (3, -2) and (2, 3).

S.D. of a data is 2102, mean is 36.6, then find its C.V.

Final the probability of choosing a spade or a heart card from a deck of cards.