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?Find the points on the ellipse \(4 x^{2}+y^{2}=4\) that are farthest away from the
Chapter 4, Problem 27(choose chapter or problem)
QUESTION:
Find the points on the ellipse \(4 x^{2}+y^{2}=4\) that are farthest away from the point (1, 0).
Questions & Answers
QUESTION:
Find the points on the ellipse \(4 x^{2}+y^{2}=4\) that are farthest away from the point (1, 0).
ANSWER:Step 1 of 3
It is given that the points lie on the ellipse,
\(4 x^{2}+y^{2}=4\).
And the point is \((1,0)\).
It is known that,
The distance between two points is determined using the formula,
\(d=\sqrt{\left(x_{1}-x_{2}\right)^{2}+\left(y_{1}-y_{2}\right)^{2}} .\).
To find the farthest points that lies on the ellipse.