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TMUAmockz Set 1 Paper 2 · Q7

Paper 2Logic & proofGeometry

A line ℓ\ell with gradient mm is tangent to the curve y=x2y=x^2 and passes through the point (10,36)(10,36). Which of the following is a necessary and sufficient condition on mm for ℓ\ell to be tangent to y=x2y=x^2?

Am=20m=20
Bm2−40m+36=0m^2-40m+36=0
Cm2−40m+144=0m^2-40m+144=0
Dm2−20m+36=0m^2-20m+36=0
Em=40m=40
Fm2−20m+144=0m^2-20m+144=0

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