The line $4y - 3x + 50 = 0$ is a tangent to a circle at the point $A$. The centre of the circle

Question

The line $4y - 3x + 50 = 0$ is a tangent to a circle at the point $A$. The centre of the circle is $C(3, -4)$. Show that the coordinates of $A$ is $(6, -8)$.[4] Hence find the radius of the circle and the equation of the circle.[3]

Accepted Answer

(a) $A=(6,-8)$ (b) radius $=5$, circle $(x-3)^2+(y+4)^2=25$

2023 ACSBR AM S3 EOY Q5

2023 ACSBR AM S3 EOY Q5

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