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Find the locus of the foot of the perpendicular drawn from centre upon any tangent to…
MATHEMATICS · Subjective · ICSE · Mathematics · Geometry · Geometry
Problem
Find the locus of the foot of the perpendicular drawn from centre upon any tangent to the ellipse
x
2
a
2
+
y
2
b
2
=
1
\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1
a
2
x
2
+
b
2
y
2
=
1
.
Related theory
Ellipse
Conic Sections
Loci
Geometric Constructions
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