EXERCISE 7.1
1. Find the distance between the following pairs of points :
(i) (2, 3), (4,1)
(ii) (-5,7), (-1,3) (iii) (a,b),(-a, -b)
Answers
Answer:
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Answer:
(i) (2,3)
Explanation:
(i) (2,3) and (4, 1)
(x1,y1) (x2,y2)
distance = √(x2 - x1) ^ + (y2 -y1)^
= √(4 - 2)^ + (1 -3)^
= √(2)^ + (-2)^
= √4 + 4
= √8 = 2√2
(ii) (-5,7) and (-1,3)
(x1,y1) (x2,y2)
distance = √(x2 - x1 )^ + (y2 - y1) ^
= √(- 1 +5 )^ + (3 - 7)^
= √(4)^ + (-4)^
= √16+16 = √32 = 4√2
(iii) (a, b) and (-a,-b)
(x1,y1) (x2, y2)
distance = √(x2-x1)^ + (y2 - y1 )^
= √(-a - a) ^ + (-b - b) ^
=√(-2a)^ + (-2b)^
=√4a^ + 4b^
= √4(a^ + b^)
= 2√a^ + b^
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