If P + Q = R and P - Q = S, prove that `R^2 + S^2 = 2(P^2 + Q^2)`

if p: q :: r , prove that p : r = p^(2): q^(2) .

If p + r = 2q and 1/q + 1/s = 2/r , then prove that p : q = r : s .

In P Q R ,\ \ Q M_|_P R and P R^2-P Q^2=Q R^2 . Prove that Q M^2=P MxxM R

In P Q R ,\ \ Q M_|_P R and P R^2-P Q^2=Q R^2 . Prove that Q M^2=P MxxM R

In P Q R ,\ \ Q M_|_P R and P R^2-P Q^2=Q R^2 . Prove that Q M^2=P MxxM R

If p, q, r, s are in G.P, show that (p^2 + q^2 + r^2) (q^2 + r^2 + s^2) = (pq + qr + rs)^2

In Figure, P S=Q R\ a n d\ /_S P Q=/_R Q Pdot Prove that P Q S\ ~=\ Q P R ,\ P R=Q S\ a n d\ /_Q P R=\ /_P Q S

If vec P+vec Q=vec R and vec P-vec Q=vec S , then R^(2)+S^(2) is equal to (A) P^(2)+Q^(2) (B) 2(P^(2)-Q^(2)) (C) 2(P^(2)+Q^(2)) (D) 4PQ

In Fig 7.51, P R\ >\ P Q and PS bisects /_Q P R . Prove that /_P S R\ >/_P S Q .

In Fig 7.51, P R\ >\ P Q and PS bisects /_Q P R . Prove that /_P S R\ >/_P S Q .