Question

Find the distance between the following pair of point.

 P(–5, 7), Q(–1, 3)

Answer 1

Let the co-ordinates of point P are (x₁, y₁) and of point Q are (x₂, y₂)

P(–5, 7) = (x₁, y₁)

Q(–1, 3) = (x₂, y₂)

PQ = `sqrt((x_2-x_1)^2+(y_2-y_1)^2)`   ...(By distance formula)

= `sqrt((-1-(-5))^2+(3-7)^2)`

= `sqrt((-1+5)^2+(-4)^2)`

= `sqrt(4^2+16)`

= `sqrt(16 + 16)`

= `sqrt32`

= `sqrt(16xx2)`

= `sqrt16xxsqrt2`

= 4`sqrt2`