Maths Exercises
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Maths Exercices
Distances

  • Distance between two points in the plane:
    The distance between two points A=(a1,a2) y B=(b1,b2) in the plane is given by the formula:




The distance between A=(3,2) and B=(1,2) is given by:


  • Distance from a point to a line:
    The distance from a point P=(p1,p2) to a line r:Ax+By+C=0 is given by the formula:



  • Distance between two lines:
    If the two lines intersect, then it is clear that D = 0
    If they do not intersect and are parallel, then D corresponds to the distance between a point from one of the two lines and the other line and is given by the formula that find the distance from a point to a line.

Find the distance from the point A=(7,-4) to the line that goes through the points P=(-6,5) and Q=(-9,9)

D =