USING DISTANCE FORMULA FIND THE MISSING COORDINATES WORKSHEET

Problem 1 :

Find the points on the x-axis which are at a distance of 2√5 from the point (7, -4). How many such points are there?

Solution

Problem 2 :

Find the value of a, if the distance between the points A(-3, -14) and B(a, -5) is 9 units.

Solution

Problem 3 :

If the point A(2, -4) is equidistant from P(3, 8) and Q(-10, y), find the values of y. Also find distance PQ.

Solution

Problem 1 :

If (a, b) is the midpoint of the line segment joining the points A(10, -6) and B(k, 4) and a - 2b = 18, find the value of k and the distance AB.

Solution

Problem 2 :

The centre of a circle is (2a, a - 7). Find the values of a if the circle passes through the point (11, -9) and has diameter 10√2 units.

Solution

Problem 3 :

If the distance between the points (2, -2) and (-1, x) is 5, one of the values of x is

(A) -2     (B) 2     (C) -1     (D) 1

Solution

Find a given that :

Problem 1 :

P(2, 3) and Q(a, -1) are 4 units apart

Solution

Problem 2 :

P(-1, 1) and Q(a, -2) are 5 units apart

Solution

Problem 3 :

X (a, a) is √8 units from the origin

Solution

Problem 4 :

A (0, a) is equidistant from P(3, -3) and  Q(-2, 2)

Solution

Problem 5 :

Find b given that A(3, -2) and B(b, 1) are √13 units apart.

Solution

Use the given distance d between the two points to find the value of x or y.

Problem 1 :

(0, 3), (x, 5); d = 2√10

Solution

Problem 2 :

(-3, -1), (2, y); d = √41

Solution

Problem 3 :

(x, 7), (-4, 1); d = 6√2

Solution

Problem 4 :

(1, y), (8, 13); d = √74

Solution