Home
Class 12
MATHS
If pth, qth and rth terms of a HP be res...

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`.

Promotional Banner

Similar Questions

Explore conceptually related problems

If p^(th), q^(th), r^(th) terms of a H.P be respectively a, b and c then (q-r) bc + (r-p) ca + (p-q)ab =

If pth,qth and rth terms of an A.P. are a, b, c respectively, then show that a(q-r)+b(r-p)+c(p-q)=0

If pth,qth and rth terms of an A.P. are a, b, c respectively, then show that (i) a(q-r)+b(r-p)+c(p-q)=0

If pth,qth and rth terms of an A.P.are a,b,c respectively,then show that (i) a(q-r) +b(r- p) +c(p-q)=0

If the sums of an A.P. upto pth, qth and rth terms are a, b and c respectively, prove that- a/p(q-r)+b/q(r-p)+c/r(p-q)=0 .

If pth, qth and rth terms of an A.P. are a,b,c, respectively, then show that (i) a(q-r)+b(r-p)+c(p-q)=0 (ii) (a-b)r+(b-c)p+(c-a)q=0

If pth, qth, and rth terms of an A.P. are a ,b ,c , respectively, then show that (1) a(q-r)+b(r-p)+c(p-q)=0 (2)(a-b)r+(b-c)p+(c-a)q=0

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