The perimeter of a sector of a circle with radius 6.5 cm is 31 cm, then find the areas of the sector.

Two different dice are thrown together, find the probability that the sum of the numbers appeared is less than 5.

OR

Find the probability that 5 Sundays occur in the month of November of a randomly selected year.

In Fig. 4, a circle touches all the four sides of a quadrilateral ABCD. If AB = 6 cm, BC = 9cm, and CD = 8 cm, then find the length of AD.

Divide the polynomial (4x² + 4x + 5) by (2x + 1) and write the quotient and the remainder.

If α and β are the zeros of the polynomial f(x) = x² - 4x – 5 then find the value of α² + β².