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Coordinate geometry questions

Coordinate geometry questions | form four Basic Mathematics

Find Coordinate geometry examination questions, form four Basic Mathematics in acaproso.com

# Question
1

Both lines “r” and “s” pass through the point (k,9). Line “r” has a slope of -frac{4}{3} and passes through the point (5,-3). Determine the :

  1. Value of k
  2. Equation of “s” in standard form of ax+by+c=0, if its x-intercept is -14.
  3. Equation od line “t” perpendicular to line “r” which passes through the point (k,9) in form of y=mx+c.

Mathematical Calculation
2

The coordinates of point A, B and C are (4,3), (3,-2) and (7,-1) respectively . From this information find the :

  1. Length of AB
  2. Equation of the line BC. (Write your answer in the form Ax+By+C=0)

Mathematical Calculation
3

Find the distance between the points A(3,7) and B(-2,-5).


Mathematical Calculation
4

The straight line through the points C(1,-2) and D(3,4) meets the y-axis at point E. Find the coordinates of E.


Mathematical Calculation
5

Find the equation of a line through the point (2,3) perpendicular to the line whose equation is 4y-3x+1=0.


Mathematical Calculation
6

Determine the slope of the line frac{7}{2}x-frac{5}{3}y-4=0


Mathematical Calculation
7

Find the equation of the straight line joining the point O(0,0) to the point of the line joining A(3,2) and B(5,-1).


Mathematical Calculation
8

Find the coordinates of the point of intersection P of the two straight lines 4x+3y=7 and 3x-4y=-1.


Mathematical Calculation
9

Determine the equation of a line which passes through the point N(5,0) and is parallel to the line 3x+4y=12.


Mathematical Calculation
10

Determine the coordinates of the point P(x,y) on the y-axis such that the line joining it to the point (3,-1) forms a right angle with the line through the points (3,-1) and (-5,-5).


Mathematical Calculation