# FIND MISSING COORDINATE USING DISTANCE FORMULA WORKSHEET

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

1)  a = 2

2) a = 3 or a = -5.

3)  a = ±2

4)  a = -1

5) b = 1 or b = 5.

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

Problem 1 :

(0, 3), (x, 5); d = 2√10

Problem 2 :

(-3, -1), (2, y); d = √41

Problem 3 :

(x, 7), (-4, 1); d = 6√2

Problem 4 :

(1, y), (8, 13); d = √74

Solution

1)  x = 6

2)  y = -5 (or) y = 3

3)  x = 2 or x = -10

4)  y = 8 or y = 18

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