Practice — what type is this question? (Analytical Geometry)

Read each question and decide what type it is before revealing the answer.

Grade 12Paper 2Level 2 — Routine Procedures

In the diagram, a circle having centre M touches the x-axis at A(−1 ; 0) and the y-axis at B(0 ; 1). 4.1 Determine the equation of the circle centred at M in the form (x − a)² + (y − b)² = r².

Source: DBE Mathematics Paper 2, November 2019, Question 4.1

Grade 12Paper 2Level 3 — Complex Procedures

4 M(−3 ; 4) is the centre of the large circle and a point on the small circle having centre O(0 ; 0). NM is a tangent to the smaller circle at M, with MOS a diameter. 4.3 Determine the equation of NM in the form y = mx + c.

Source: DBE Mathematics Paper 2, November 2020, Question 4.3