Divide as directed: `52pqr(p+q)(q+r)(r+p):-104pq(q+r)(r+p)`

Add: p(p-q),q(q-r) and r(r-p)

Factorize the expressions and divide them as directed: 5pq(p^2-q^2):-2p(p+q)

For all positive values of p,q,r and s ((p^(2) + p +1)(q^(2) + q+ 1)(r^(2) + r+1)(s^(2) + s + 1))/(pqrs) cannot be less than

The contrapositive of (p vv q) rarr r is

If p^(th), q^(th), r^(th) and s^(th) terms of an A.P. are in G.P, then show that (p – q), (q – r), (r – s) are also in G.P.

If the p^("th"), q^("th") and r^("th") terms of a G.P. are a, b and c, respectively. Prove that a^(q – r) b^(r-p) c^(P - q) = 1.

If pth, qth and rth terms of a HP be respectively a,b and c , has prove that (q-r)bc+(r-p)ca+(p-q)ab=0 .

Let V(r) denote the sum of the first r terms of an arithmetic progression (AP) whose first term is r and the common difference is (2r-1). Let T(r)=V(r+1)-V(r)-2 and Q(r) =T(r+1)-T(r) for r=1,2 Which one of the following is a correct statement? (A) Q_1, Q_2, Q_3………….., are in A.P. with common difference 5 (B) Q_1, Q_2, Q_3………….., are in A.P. with common difference 6 (C) Q_1, Q_2, Q_3………….., are in A.P. with common difference 11 (D) Q_1=Q_2=Q_3

The inverse of the proposition (p ^^ ~q) rarr r is