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1 Unit 1: Pure Mathematics A

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Question 98

The circle C C\,C has the equation x2+y2−8x+6y+5=0x^2 + y^2 - 8x + 6y + 5 = 0x2+y2−8x+6y+5=0

a.

Find (i) the coordinates of the centre of C C\,C and (ii) the exact radius of CCC.

[3]
b.

The line with equation y=ky = ky=k where k k\,k is a constant, is a tangent to CCC. Find the possible values of kkk.

[2]
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1 Unit 1: Pure Mathematics A Questions

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