Subject: Mathematics
Book: Maths Mastery
An ellipse in standard form is (x–h)²/a² + (y–k)²/b²=1, centered at (h,k). a and b are the semi-major or semi-minor axes lengths, indicating radii along x or y directions. Plot center, move ±a horizontally, ±b vertically for reference points, and sketch a smooth oval. Ellipses model planetary orbits, lens shapes, or mechanical linkages. Understanding ellipse parameters fosters advanced geometry solutions—like finding focal points (for reflection properties) or using them in design constraints where elliptical arcs are needed.
If a:b = 7:9 and b:c = 5:6, what is a:c?
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