Question 768012
Q:
Find all points on the y-axis that are 6 units from the point (4,-3).
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A:
Let (0,k) be the point on the y-axis.
Using Distance Formula:
{{{sqrt((k+3)^2 + (0 - 4)^2)}}} = 6
{{{(k+3)^2 + 16}}} = 36
{{{(k+3)^2}}} = 20
k = {{{-3+2sqrt(5)}}} OR k = {{{-3-2sqrt(5)}}}
Answer: (0, {{{-3+2sqrt(5)}}}) AND (0, {{{-3-2sqrt(5)}}})