For what value of n, the nth term of A.P. 63, 65, 67, ….. and nth term of A.P. 3, 10, 17, …… are equal ?

Using remainder theorem, factorise 6x³ - 11x² - 3x + 2 completely.

Three coins are tossed once. Find the probability of getting :

(i) 3 heads

(ii) exactly two heads

(iii) atleast 2 heads.

In rhombus ABCD, the co-ordinates of point A and C are (2, -6) and (-4, 8) respectively. Find the equation of the diagonal BD.