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

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.

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 ?

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

(i) 3 heads

(ii) exactly two heads

(iii) atleast 2 heads.