The locus of the foot of the perpendicular from the centre of the hyperbola xy = c² on a variable tangent is (A) (x² - y²)² = 4c²xy (C) (x² - y²) = 4c²xy (B) (x² + y²)2 =2c²xy (D) (x² + y²)² = 4c²xy

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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The locus of the foot of the perpendicular
from the centre of the hyperbola xy = c² on a
variable
tangent is
(A) (x² - y²)² = 4c²xy
(C) (x² - y²) = 4c²xy
(B) (x² + y²)2 = 2c²xy
(D) (x² + y²)² = 4c²xy
Transcribed Image Text:The locus of the foot of the perpendicular from the centre of the hyperbola xy = c² on a variable tangent is (A) (x² - y²)² = 4c²xy (C) (x² - y²) = 4c²xy (B) (x² + y²)2 = 2c²xy (D) (x² + y²)² = 4c²xy
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