Find the distance between the following points:
(i) (–6, 7) and (–1, –5)

(ii) (–1, –1) and (8, –2)

(iii) (at₁², 2at₁) and (at₂², 2at₂)

Question

Find the distance between the following points:(i) (–6, 7) and (–1, –5)(ii) (–1, –1) and (8, –2)(iii) (at12, 2at1) and (at22, 2at2)

Philoid · Accepted Answer

We know that distance between two points (x₁, y₁) and (x₂, y₂) is given by

(i) Let the points (–6, 7) and (–1, –5) be A and B respectively, so the distance between them

(ii) Let the points (–1, –1) and (8, –2) be A and B respectively, so the distance between them

(iii) Let the points (at₁², 2at₁) and (at₂², 2at₂) be A and B respectively, so the distance between them