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Exact and approximate tangent intercepts

Exact and approximate tangent intercepts

5 marks
TGM Original
Find the tangents to (x+1)2+(y-2)2=13 with gradient -2. Give their y-intercepts exactly and to 3 significant figures.

Solution:

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Answer:\(y=-2x\pm\sqrt{65}\); intercepts \(\pm\sqrt{65}\approx\pm8.06\)

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