Question

if qx+py= p² + q² , px-qy=0 then x-y=​

Answer 1

Answer:

q-p

Step-by-step explanation:

qx+py = p²+q² --- eqⁿi

px-qy = 0 --- eqⁿii

or,

px = qy , x = qy/p --- eqⁿiii

putting eqⁿi

q(qy/p)+py = p²+q²

q²y/p + py = p²+q²

(q²+p²)y/p = p²+q²

y/p = 1 , y = p.

y = p , putting eqⁿiii

x = qy/p = qp/p = q.

Now, A/Q

x-y = q-p.