Tangent at a point [other than ] on the curve meets the curve again at

MATHEMATICS · Single correct · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

Tangent at a point

P_1

[other than

(0,0)

] on the curve

y=x^3

meets the curve again at

P_2

. The tangent at

P_2

meets the curve again at

P_3

and so on. The ratio of area of

\Delta P_1P_2P_3

to that of

\Delta P_2P_3P_4

is (a)

1/4

(b)

1/2

(c)

1/8

(d)

1/16