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Question
Find the distance of the following points from origin:
(5, 12)
Sum
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Solution
Given: Point: (5, 12)
Step-wise calculation:
1. Distance from origin (0, 0):
`d = sqrt((x - 0)^2 + (y - 0)^2`
= `sqrt(x^2 + y^2)`
2. Substitute x = 5, y = 12:
`d = sqrt(5^2 + 12^2)`
= `sqrt(25 + 144)`
= `sqrt(169)`
= 13
The distance of (5, 12) from the origin is 13 units.
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Chapter 19: Co-ordinate Geometry: An Introduction - Exercise 19D [Page 404]
