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Grade 11Analytical Geometry

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

Profile image of Ruchika K
9 Years agoGrade 11
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1 Answer

Profile image of Vikas TU
9 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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