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Question
Find the distance between the following pair of points.
R(0, -3), S(0, `5/2`)
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Solution
Suppose co-ordinates of point R are (x1 , y1) and of point S are (x2, y2).
x1 = 0, y1 = -3, x2 = 0, y2 = `5/2`
According to distance formula,
d(R, S) = `sqrt((x_2 - x_1)^2 + (y_2 - y_1)^2)`
d(R, S) = `sqrt((0 - 0)^2 + [5/2 - (- 3)]^2)`
d(R, S) = `sqrt((0)^2 + [5/2 + 3]^2)`
d(R, S) = `sqrt((0)^2 + (11/2)^2)`
d(R, S) = `sqrt(0 + 121/4)`
d(R, S) = `sqrt(121/4)`
d(R, S) = `11/2`
∴ distance between points R and S is `11/2`.
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