If a + b = P, a – b = Q, c + d = R and c - d = S & \(\frac{a}{b} = \frac{c}{d}\) t1QsGL7iAz1qmcJmEB9nR1KyiAUnyxS1LAL

A \(P = \frac{{QR}}{S}\)

B \(Q = \frac{{PS}}{R}\)

C \(R = \frac{{PS}}{Q}\)

D \(S = \frac{{QR}}{P}\)

E All of the above

Correct Answer: Option E

Given: a + b = P, a – b = Q, c + d = R and c - d = S ---- (1)

a/b=c/d

Apply componendo & dividendo,

(a+b)/(a-b)=(c+d)/(c-d)

P/Q=R/S (using statement (1))

⇒ P=QR/S , Q=PS/R , R=PS/Q and S=QR/P.