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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

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

Grade:11

2 Answers

Badiuddin askIITians.ismu Expert
147 Points
11 years ago

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

Abhimanyu
11 Points
3 years ago
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!!!!!

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