Question

Find the gradients of the lines joining the following pairs of points:

a. (cp, c/p), (cq, c/q)

b.(ap2, 2ap), (aq2, 2aq)

c. (acossθ, bsinsθ), (acosφ, bsinφ).

Answer 1

a. Gradient = (c/q - c/p)/(cq - cp) = (p - q)/pq(q - p) = - 1/pq