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1.3 Coordinate Geometry in the x-y Plane

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Question 79

The sketch shows circle C C\,C with centre P(6.5,7)P(6.5, 7)P(6.5,7). The line l l\,l with equation y=12x\displaystyle y = \frac{1}{2}xy=21​x is a tangent to C C\,C at point Q(8,4)Q(8, 4)Q(8,4).

a.

Find an equation for CCC.

[4]
b.

The line with equation y=12x+k\displaystyle y = \frac{1}{2}x + ky=21​x+k, where k k\,k is a non-zero constant, is also a tangent to CCC. Find the value of kkk.

[4]

1.3 Coordinate Geometry in the x-y Plane Questions

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  3. /1.3 Coordinate Geometry in the x-y Plane