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Analytical Geometry

What is the minimum length of a focal chord to the parabola y^2=32x

Profile image of Aditya
11 Years agoGrade
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1 Answer

Profile image of Harsh Patodia
11 Years ago
Shortest focal chord is chord perpendicular to axis and passing through focus.
for above parabola focus is (8,0)

End points of focus will be (8,16) and (8, -16) ( Get y by putting x=8 iin parabola equation)

Length will clearly be 32 ( difference in ordinates)