Question:
2.Find the points on the y- axis which are at a distance of 3 units from the point ( 2, 3, -1)
Answer:
Let the point on y-axis is O(0, y, 0)
Given point is A(2, 3, -1)
Given OA = 3
=> OA2 = 9
=> (2 - 0)2 + (3 - y)2 + (-1 - 0)2 = 9
=> 4 + (3 - y)2 + 1 = 9
=> 5 + (3 - y)2 = 9
=> (3 - y)2 = 9 - 5
=> (3 - y)2 = 4
=> 3 - y = √4
=> 3 - y = ±4
=> 3 - y = 4 and 3 - y = -4
=> y = -1, 7
So, the point is either (0, -1, 0) or (0, 7, 0)
Not what you are looking for? Go ahead and submit the question, we will get back to you.
