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Question Number 49526 by ajfour last updated on 07/Dec/18
Commented by ajfour last updated on 07/Dec/18
Ifboththecolouredareasareequal,findequationofparabolaintermsofellipseparametersaandb.
Answered by ajfour last updated on 07/Dec/18
y=Ax2−b,x2a2+y2b2=1x2a2+(Ax2−b)2b2=1A2x4+(b2a2−2Ab)x2=0⇒xP=2Ab−b2a2A⇒∫0xP(b1−x2a2−Ax2+b)dx=πab4.
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