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An iron rod of length 2l is sliding on two mutually perpendicular lines.Find the equation of locus of the midpoint of the rod

An iron rod of length 2l is sliding on two mutually perpendicular lines.Find the equation of locus of the midpoint of the rod

Grade:11

1 Answers

Vikas TU
14149 Points
4 years ago
Consider the two commonly opposite lines be x and y pivot and Let the point made by the line portion be θ on the x-hub. At that point the organize of end point on x-hub is P(Lcosθ,0)P(Lcosθ,0) and on y-pivot is Q(0,Lsinθ)Q(0,Lsinθ). 
Subsequently the point which isolates PQ in the proportion 1:2 can be computed as far as θ, 
i.e., S(x,y) will be with the end goal that, 
x=2L/3cosθx 
also, 
y=L/3sinθy 
In this way the locus will be given by: 
X2/4+y2=L2/9 

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