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0580 P22 - Nov 2014 - Q16 - 4 marks
15661
Circle centreO tangentTCD angleBAC54

TCD is tangent at C, and BAC = 54°.

(a) Find BOC and give a reason. [2]

(b(i)) O is the origin and C has position vector \(\binom3{-4}\). Find the gradient of OC. [1]

(b(ii)) D = (7, k). Find k. [1]

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