" 57.The value of "x^(p-q)*x^(q-r)*x^(r-p)" is equal to "

If p(q-r)x^2+q(r-p)x+r(p-q)=0 has equal roots, then;

Find the value of (a^(p)/a^(q))^(p+q-r)xx(a^(r)/a^(p))^(r+p-q)xx(a^(q)/a^(r))^(q+r-p)

If the roots of the equation p(q-r)x^2+q(r-p)x+r(p-q)=0 be equal ,show that 1/p+1/r=2/q

The value of (x^(q)/x^(r))^(1/(qr)) xx (x^(r)/x^(p))^(1/(rp)) xx (x^(p)/x^(q))^(1/(pq) is equal to:

If p^(th), q^(th) and r^(th) terms of G.P. are x,y,z respectively then write the value of x^(q-r) y^(r-p) z^(p-q).

If the roots of the equation (q-r)x^(2)+(r-p)x+p-q=0 are equal, then show that p, q and r are in A.P.