Senior 5 · UACE Mathematics

Coordinate geometry 1 Past Questions & Worked Solutions

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

The gradient is m=8-2/4-1=2. Using (1,2), y-2=2(x-1), so y=2x.

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

The midpoint is (1,3) and m_{AB}=2/3, so the perpendicular gradient is -3/2. Thus y-3=-\frac32(x-1), or 3x+2y-9=0.

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 1 worked exam problem3 marks

Question

Find the equation of the line through $(1,2)$ and $(4,8)$ .

A straight line on coordinate axes

Step-by-Step Worked Solution

The gradient is $m=\frac{8-2}{4-1}=2.$ Using $(1,2)$ , $y-2=2(x-1),$ so $\boxed{y=2x}.$

Sample Question 2: Coordinate geometry 1 worked exam problem4 marks

Question

Find the perpendicular bisector of the segment joining $A(-2,1)$ to $B(4,5)$ .

Step-by-Step Worked Solution

The midpoint is $(1,3)$ and $m_{AB}=2/3$ , so the perpendicular gradient is $-3/2$ . Thus $y-3=-\frac32(x-1),$ or $\boxed{3x+2y-9=0}.$

Coordinate geometry 1 Past Questions & Worked Solutions

Worked Examples & Step-by-Step Solutions

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