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Shreyans Sharma Grade: 11
        

the ends of a rod of length 'l' move on 2 mutually perpendicular lines. Find the locus of the point on the rod, which divides it in the ratio 2:1

7 years ago

Answers : (2)

Badiuddin askIITians.ismu Expert
147 Points
										

Dear shreyans


 


6854-2094_7662_untitled.JPG


 


 l2 =a2+ b2


 h= a/3   or a = 3h


 k = b/3   or b= 3k


so  l2 =9h2+9k2


  h2+k2 = (l/3)2


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Badiuddin

7 years ago
Abhimanyu
10 Points
										6854-2094_7662_untitled.JPG  l2 =a2+ b2 h= a/3   or a = 3h k = 2b/3   or b= 3k/2so  l^2 =9h^2+(9k^2)/4  h^2+(k^2)/4 = (l/3)^2or, x^2+(y^2)/4=(l^2)/9Done!!!!!
										
3 months ago
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