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tmua.me Extreme Set B Paper 1 · Q6

Paper 1Algebra

Two distinct points PP and QQ lie on the curve

y=x3−2x.y=x^3-2x.

The tangents to the curve at PP and QQ are perpendicular, and their point of intersection lies on the xx-axis.

What is the product of the xx-coordinates of PP and QQ?

A−32-\dfrac32
B−76-\dfrac76
C−1-1
D−56-\dfrac56
E−23-\dfrac23
F−13-\dfrac13

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