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A and B are any two points on the positive x and y axis respectively satisfying 2(OA) + 3(OB)=10. If P is the middle point of AB then locus of P IS (where O is the origin)

Raviraj singh , 11 Years ago
Grade 11
anser 1 Answers
rajesh

Last Activity: 11 Years ago

let the OA=x and OB=y
point A(x,0) point B(0,y)
midpoint (p,q)=(x/2,y/2)
given 2x+3y=10
x=2p and y=2q
substitute in the above equation
4p+6q=10
locus is 2x+3y=5
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