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If a straight line through the point (1,1) meets x axis at A and y-axis at B then the locus of midpoint AB is

Avint , 5 Years ago
Grade 12th pass
anser 1 Answers
Subham Patel

Last Activity: 5 Years ago

Line meet x-axis at A(x,0) and y- axis at B (y,0) and point p(1,1) is the midpoint . Apply midpoint theorem to find coordinate of A and B 
For A(X,0) 
                 1=X+0/2
                  X=2 and same as y=2 …
Then find slope from coordinate A(2,0) and B(0,2) 
Slope =-1
 Apply eqn, 
                  y-y1 = m( x-x1) 
We get X+y-2 =0 as the eqn of locus of midpoint of AB

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