Anesco Maths and Science Tutorial

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A'Level past questions and Answers on
Co-ordinate Geometry QP

10. The equation of a circle is (x-3)²+y²=18.The line with equation y=mx+c passes through the
point (0,-9)and is a tangent to the circle.
Find the two possible values of m and,for each value of m,find the coordinates of the point at which the tangent touches the circle.

7. The equation ofa circle is (x-6)²+(y+a)²=18.The line with equation y=2a-x is a tangent to the
circle.

(a)Find the two possible values of the constant a.

(b)For the greater value of a,find the equation of the diameter which is perpendicular to the given tangent.

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