Question

If m = q/(p + q) and n = p/(p - q), then mn/(m + n) is equal to:
A) pq/(p² - q² + 2pq)
B) p/(p + q)
C) (p² + q²)/pq
D) [q/(p + q)]²

Answer 1

Answer:

the correct answer is A

Step-by-step explanation:

Given : m=q/(p+q) and n=p/(p-q)

A/q : mn/(m+n)

q/(p+q)*p/(p-q)÷(q/(p+q)+p/(p-q)

{pq/(p^2-q^2)}÷{q(p-q)+p(p+q)/(p+q)(p-q)}

pq/(p^2-q^2)*(p+q)(p-q)/pq-q^2+p^2+pq

pq/(p^2-q^2+2pq)

Answer 2

Answer:

$\huge{\boxed{\rm{\red{Option A}}}}$