Question

if the points (p2 ,0) and (0,q2 and (1,1 are collinear prove that1/p2+1/q2=1​

Answer 1

Answer:

the area of triangle is zero, then the points are collinear.

Points are collinear.

Point are (p,o)(o,q)(i,q)

Δ=21[p(q−1)−0(1−0)+1(0−q)]

⇒21[p(q−1)−q]

⇒21[p(q−1)−q]

⇒21[pq−(p+q)]=o

⇒pq=p+q⇒pqp+q=1

⇒p1+q1=1