Q. 3

# If the distance b

Given: distance between the points P(a, 2, 1) and Q(1, -1, 1) is 5 units

To find: the value of a

Formula used:

The distance between any two points (a, b, c) and (m, n, o) is given by,

PQ = 5 units

The distance between points P(a, 2, 1) and Q(1, -1, 1) is PQ

Squaring both sides:

a2 – 2a + 10 = 25

a2 – 2a + 10 – 25 = 0

a2 – 2a – 15 = 0

a2 – 5a + 3a – 15 = 0

a(a – 5) + 3(a – 5) = 0

(a – 5) (a + 3) = 0

a = 5 or -3

Hence, the value of a is 5 or -3

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