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ICSE Class 9 Answered

Find points on y-axis (4 , y) that are 10 units from the point ( -2 , -1).
Asked by aryan2mumbai | 16 Dec, 2020, 08:28: PM
answered-by-expert Expert Answer
Question: Find the value of y in the point (4, y) such that its distance is 10 units from the point (-2, -1).
Solution:
As the distance of (4, y) from (-2, -1) is 10, we have

square root of open parentheses 4 plus 2 close parentheses squared plus open parentheses straight y plus 1 close parentheses squared end root equals 10
36 plus straight y squared plus 2 straight y plus 1 equals 100
straight y squared plus 2 straight y minus 63 equals 0
straight y squared plus 9 straight y minus 7 straight y minus 63 equals 0
open parentheses straight y plus 9 close parentheses open parentheses straight y minus 7 close parentheses equals 0
straight y equals negative 9 space space or space space straight y equals 7
Answered by Renu Varma | 16 Dec, 2020, 08:57: PM
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