Ex 7.1, 1
Find the distance between the following pairs of points :
(a, b), (−a, −b)
Let the two points be A(a, b) & B(−a, −b)
We need to find distance AB
AB = √((𝑥2 −𝑥1)2+(𝑦2 −𝑦1)2)
Here, x1 = x coordinate of A = a
y1 = y coordinate of A = b
x2 = x coordinate of B = −a
y2 = y coordinate of B = −b
Putting values
AB = √((𝑎 −(−𝑎 ))2+(𝑏 −(−𝑏))2)
= √((𝑎+𝑎)2+(𝑏+𝑏)2)
= √((2𝑎)2+(2𝑏)2)
= √((2𝑎)2+(2𝑏)2)
= √(4𝑎2+4𝑏2)
= √(4×(𝑎2+𝑏2))
= √4 × √(𝑎2+𝑏2)
= 2 × √(𝑎2+𝑏2)
= 2√(𝒂𝟐+𝒃𝟐)

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.

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