If a ,ba n dc are in A.P., and pa n dp ...

If `a ,ba n dc` are in A.P., and `pa n dp '` are respectively, A.M. and G.M. between `aa n dbw h i l eq , q '` are , respectively, the A.M. and G.M. between `ba n dc ,` then `p^2+q^2=p^('2)+q^('2)` b. `p q=p ' q '` c. `p^2-q^2=p^('2)-q^('2)` d. none of these

Similar Questions

Explore conceptually related problems

If the A.M. and G.M. of the roots of a quadratic equation in x are P and q respectively then the equation is

If p ,q be two A.M. ' s and G be one G.M. between two numbers, then G^2= a)(2p-q)(p-2q) (b) (2p-q)(2q-p) c)(2p-q)(p+2q) (d) none of these

The A.M.between p and q is two xx the G.M then p:q is

If a,b,c are in AP and p is the AM between a and b and q is the AM between b and c, then show that b is the AM between p and q.

The (m+n) th and (m-n) th terms fa G.P. ae p and q respectively.Show that the mth and nth terms are sqrt(pq) and p((q)/(p))^(m/2n) respectively.

If a,b,c are in G.P and a,p,q are in A.P such that 2a, b+p, c +q are in G.P ., then the common difference of A.P is

In Delta P Q R , if P Q=Q R and L ,M and N are the mid-points of the sides P Q ,Q R and R P respectively. Prove that L N=M Ndot

If the A.M. between mth and nth terms of an A.P. be equal to the A.M. between pth and qth terms of an A.P. then prove that m+n=p+q .