2026 CCHY P2 Q8

2026 CCHY P2 Q8

Secondary 4
9 marks

The circle \(C\) has centre \(A(3,-2)\) and passes through the point \(B(8,2)\).

  1. Find the equation of the circle \(C\) in standard form.[2]
  2. The line \(l\) has equation \(3x+4y-32=0\). Show that the point \(B\) lies on the line \(l\).[1]
  3. Show that the line is not a tangent to the point \(B\). Clearly justify your answer.[3]
  4. Hence, find the equation of the tangent to circle \(C\) at \(B\).[2]
  5. A circle \(D\) is a reflection of circle \(C\) along the line \(x=5\). Find the equation of the circle \(D\).[1]

Solution:

Solution locked

Sign in to view the step-by-step solution

Similar questions are unavailable for this question.
Answer:(a) \((x-3)^2+(y+2)^2=41\). (b) Shown. (c) Gradient product \(-3/5\ne-1\). (d) \(5x+4y=48\). (e) \((x-7)^2+(y+2)^2=41\).

Need help? Join our JC Math tuition classes.

Learn more