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MATH / The point P=(−1,0) lies on the ellipse 4x²+y²=4. Let Q be another point on this ellipse, and let d be the maximum length of (PQ)¯. Find d².

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problem

The point P=(−1,0)P = (-1,0) lies on the ellipse 4x2+y2=4.4x^2 + y^2 = 4. Let QQ be another point on this ellipse, and let dd be the maximum length of PQ¯.\overline{PQ}. Find d2.d^2.
Plain-text mathematical notation (without MathML)
The point P=(−1,0) lies on the ellipse 4x²+y²=4.  Let Q be another point on this ellipse, and let d be the maximum length of (PQ)¯.  Find d².
Original LaTeX notation
The point $P = (-1,0)$ lies on the ellipse $4x^2 + y^2 = 4.$  Let $Q$ be another point on this ellipse, and let $d$ be the maximum length of $\overline{PQ}.$  Find $d^2.$

level

Level 5

type

Intermediate Algebra

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Source and history

task_id
49c91c39-1794-57e2-8a2a-f400b938e4bf
task_key
intermediate~5falgebra--test--49c91c39-1794-57e2-8a2a-f400b938e4bf
task_revision_id
1
config / split
intermediate_algebra / test

Official source

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