Maths Maestri
Grade 12 · Analytical Geometry – Circles
Diagram
Solution

Answer Review

What this quiz covers

Grade 12 – Circle Geometry Quiz draws its questions at random from a bank of 30 questions. A full worked solution is shown after you answer each one.

Example questions

A sample of the questions you will practise in this quiz. Work them out yourself - the full solution appears after you answer each one.

  1. O(0 ; 0) and N(2 ; y) are points on the circumference of a circle with centre M(4 ; 2). Determine the equation of the circle.
  2. N(2 ; y) lies on the circle with equation (x − 4)2 + (y − 2)2 = 20, and y > 0. Calculate the value of y.
  3. The tangent to the circle at O(0 ; 0) meets the tangent at N(2 ; 6) at point R. Determine the equation of the tangent OR.
  4. The tangent at N(2 ; 6) and the tangent OR ( y = −2x ) meet at R. Calculate the coordinates of R.
  5. Determine, with a reason, the type of quadrilateral represented by MNRO.