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Euclid R2Drew2 Edition Paper 1 · Q17

Paper 1Sequences & series

A line is called a GP-secant of a curve if it meets the curve at three distinct points whose xx-coordinates are positive and form a geometric progression.

A GP-secant of

y=x3−12x2+7xy=x^3-12x^2+7x

passes through (1,−9)(1,-9).

What is the gradient of the GP-secant?

A−13-13
B−16-16
C−17-17
D−18-18
E−25-25
F−24-24

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