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Question
Find the distance of the following points from the origin:
(i) A(5,- 12)
Solution
A(5,- 12)
Let O(0,0) be the origin
`OA = sqrt((5-0)^2 +(-12 - 0)^2)`
`= sqrt((5)^2 +(-12)^2)`
`=sqrt(25+144)`
`=sqrt(169)`
=13 units
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In a GPS, The lines that run east-west are known as lines of latitude, and the lines running north-south are known as lines of longitude. The latitude and the longitude of a place are its coordinates and the distance formula is used to find the distance between two places. The distance between two parallel lines is approximately 150 km. A family from Uttar Pradesh planned a round trip from Lucknow (L) to Puri (P) via Bhuj (B) and Nashik (N) as shown in the given figure below.
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- If Kota (K), internally divide the line segment joining Lucknow (L) to Bhuj (B) into 3 : 2 then find the coordinate of Kota (K).
- Name the type of triangle formed by the places Lucknow (L), Nashik (N) and Puri (P)
[OR]
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