# Questions on Coordinate Geometry

## What is Co-ordinate Geometry?

Co-ordinate geometry is a branch of geometry where the position of the points on the plane is defined with the help of an ordered pair of numbers also known as coordinates. **( kindly use the comment box below to ask a question).**

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### Questions on Co-ordinate Geometry

- Find the gradient of a line that passes through the following points.

- A(3,-2) ; B(-6,-7)
- A(1,4) ; B(5,12)
- A(-5,-12) ; B(2,3)

- Find the distance between the following pairs of points.

- (2,3) and (-2,-2)
- (-2,-3) and (-6,-8)
- (1,5) and (7,3)

- Find the co-ordinates of the point which divides the following lines in the given ratio:

- (3,4) ; (5,6) into ratio 3:4
- (2,-7) ; (7,3) into ratio 1:2
- (1,2) ; (6,5) into ratio 2:1

- A point P(x,y) divides the line joining the points (1,-2) and (3,5) into the ratio 1:4. What are the co-ordinates of P?

- Find the co-ordinates of the mid-point of the following:

- (3,4) ; (5,6)
- (2,-7) ; (7,3)
- (1,2) ; (6,5)

- A, B, C are three points with coordinates (1,0) ; (2,-4) and (-5,-2) respectively. Determine:

- The equation of the line through A and perpendicular to BC
- The equation of the line through B and perpendicular to AC
- The co-ordinate of the point of intersection of these lines.

- A car hire company estimates that the cost of acquiring and operating a car hire can be estimated by the linear equation:

Y = 0.71x + 1800

Where y represents the total cost (in Naira), and x represents the number of kilometers driven.

- Identify the gradient and y-intercepts.
- Interpret the meaning of the gradient and the y-intercept.

- The bottling company produces 200 crates of Viju for N6,000 and 500 crates for N9,000. If the cost function is linear. Find:

- The cost equation.
- The overhead cost.
- Sketch the graph.
- Estimate the cost of producing 1000 crates.
- The average cost of producing 1,000 crates.

- A company produces 2,000 units of a good for N6,000 and 4,000 units for N10,000. Given that the cost function is linear.

- Find the cost equation.
- Sketch the graph.
- Interpret the slope and the intercept.
- Estimate the cost of producing 7,000 units of the good.
- Find the average cost of producing 7,000 units of goods.

- The additional cost of producing each unit of a certain good is N0.95. If 300 units of the goods are produced at a cost of N8,560. Find:

- The cost equation.
- The overhead cost.
- Sketch the graph.
- The average cost.

## Other Mathematics Questions

- Linear Programming
- Permutation and Combination
- Set Theory
- Empirical Probability
- Integration & Vector Algebra
- Differentiation

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