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If pq + 1 = q2 and t = 1p - \(\frac{...

If pq + 1 = q2 and t = 1p - 1pq express t in terms of q

A.

1pq

B.

1q1

C.

1q+1

D.

1 + 0

E.

11q

Correct answer is C

Pq + 1 = q2......(i)

t = 1p - 1pq.........(ii)

p = q21q

Sub for p in equation (ii)

t = 1q21q - 1q21q×q

t = qq21 - 1q21

t = q1q21

= q1(q+1)(q1)

= 1q+1