Find the value of `p` for which the numbers `2p -1,3p+1,11` are in `AP.`

Find the value p for which the points (-1,-1) (2, p) and (8,11) are collinear

Find the value of p if the points A(2,-1,1),B(4,0,p),C(1,1,1) and D(2,4,3) are coplanar.

Find the value of 'p' for which the qudratic equations have equal roots: (3p +1) c^(2) + 2 ( p+1) c+ p=0.

The value of p for which (2p+ 1), 10 and (5p + 5) are three consecutive terms of an AP, is:

Find the value of p for which x+1 is a factor of x^(4)+(p-3)x^(3)-(3p-5)x^(2)+(2p-9)x+6 Find the remaining factor for this value of p.

Find the value of p in (p+2)/(3)+7=(3p-8)/(2)-p+1

The sum of first q terms of an A.P. is 63 q-3q^2 . If its p t h term is -60 , find the value of p . Also, find the 11 t h term of this A.P.