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Official 2018 Paper 1 · Q11

Paper 1Algebra

The line y=mx+5y=mx+5, where m>0m>0, is normal to the curve y=10−x2y=10-x^2 at the point (p,q)(p,q).

What is the value of pp?

A26\frac{\sqrt2}6
B−26-\frac{\sqrt2}6
C322\frac{3\sqrt2}2
D−322-\frac{3\sqrt2}2
E5\sqrt5
F−5-\sqrt5

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