Question

If R is the relation defined on N so that
x2 + 2y = 100 then R =
a) {(48, 2), (42, 4), (32, 6)}
b) {(2, 48), (4, 42), (8, 18)}
c) {(2,48), (4,42), (6, 32), (8, 18)}
d) None of these.​

Answer 1

Answer:

(c)

Step-by-step explanation:

x² + 2y = 100 ⇔ y = - $\frac{1}{2}$ x² + 50

(c) R = {(2,48), (4,42), (6, 32), (8, 18)}

48 = - $\frac{1}{2}$ (2)² + 50

42 = - $\frac{1}{2}$ (4)² + 50

32 = - $\frac{1}{2}$ (6)² + 50

18 = - $\frac{1}{2}$ (8)² + 50