Senior 6 · UACE Mathematics

Coordinate geometry 2 Past Questions & Worked Solutions

Q: Sample Question 1: Coordinate geometry 2 worked exam problem

Complete both squares: (x-3)^2+(y+2)^2=25. Therefore the centre is (3,-2) and the radius is 5.

Q: Sample Question 2: Coordinate geometry 2 worked exam problem

Compare with y^2=4ax. Then 4a=12, so a=3. The focus is (3,0) and the directrix is x=-3.

Exam-style UACE Mathematics questions on Coordinate Geometry with step-by-step worked solutions for Senior 5–6 candidates preparing for UNEB examinations.

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Sample Questions

Worked Examples & Step-by-Step Solutions

Preview exam-style UACE Mathematics problems with full step-by-step solutions.

Sample Question 1: Coordinate geometry 2 worked exam problem4 marks

Question

Find the centre and radius of $x^2+y^2-6x+4y-12=0.$

A circle on coordinate axes

Step-by-Step Worked Solution

Complete both squares: $(x-3)^2+(y+2)^2=25.$ Therefore the centre is $\boxed{(3,-2)}$ and the radius is $\boxed{5}$ .

Sample Question 2: Coordinate geometry 2 worked exam problem3 marks

Question

Find the focus and directrix of the parabola $y^2=12x.$

Step-by-Step Worked Solution

Compare with $y^2=4ax$ . Then $4a=12$ , so $a=3$ . The focus is $\boxed{(3,0)}$ and the directrix is $\boxed{x=-3}$ .

Coordinate geometry 2 Past Questions & Worked Solutions

Worked Examples & Step-by-Step Solutions

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