Grade 12th passAlgebra
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
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
1 Answer
Subham Patel
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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