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- Let A(p², - p), B(q², q), C(r², – r) be the vertices of triangle ABC. A parallelogram AFDE is drawn with D, E, and F on the line segments BC, CA, and AB, respectively. Using calculus, show that the maximum area of such a parallelogram is = |(p+q)(q+r)(p_r) |.

- Let A(p², - p), B(q², q), C(r², – r) be the vertices of triangle ABC. A parallelogram AFDE is drawn with D, E, and F on the line segments BC, CA, and AB, respectively. Using calculus, show that the maximum area of such a parallelogram is = |(p+q)(q+r)(p_r) |.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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- Let A(p², − p), B(q², q), C(r², – r) be the vertices of triangle ABC. A parallelogram AFDE is drawn with D, E, and F on the line segments BC, CA, and AB, respectively. Using calculus, show that the maximum area of such a parallelogram is ·|(p+q)(q+r)(p−r)|. o+q)(q.
Transcribed Image Text:- Let A(p², − p), B(q², q), C(r², – r) be the vertices of triangle ABC. A parallelogram AFDE is drawn with D, E, and F on the line segments BC, CA, and AB, respectively. Using calculus, show that the maximum area of such a parallelogram is ·|(p+q)(q+r)(p−r)|. o+q)(q.
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