2025 JVSS PRELIMS P1 Q11

2025 JVSS PRELIMS P1 Q11

Secondary 4
9 marks
2025 Jurongville Secondary School Prelims A Math Paper 1

A circle, \(C\), has equation \(x^2+y^2-10x+6y+9=0\).

  1. Find the coordinates of the centre and radius of \(C\).[3]
  2. Explain why the \(y\)-axis is a tangent to \(C\).[1]
  3. Given that the circle \(C\) crosses the \(x\)-axis at the point \(P(1,0)\), find the equation of the tangent to the circle at \(P\).[3]
  4. Determine whether the point \(A(3,-7)\) lies inside, outside or on the circle \(C\)?[2]

Solution:

Solution locked

Sign in to view the step-by-step solution

Similar questions are unavailable for this question.
Answer:(a) Centre \((5,-3)\), radius \(5\) units. (b) The distance from the centre to the \(y\)-axis is \(5\), equal to the radius, so the \(y\)-axis is tangent to \(C\). (c) \(4x-3y-4=0\). (d) \(A(3,-7)\) lies inside \(C\).

Need help? Join our JC Math tuition classes.

Learn more