A straight line segment AB of length 'a' moves with its ends n the coordinate axes.The locus of the point P which divides the segment AB in ratio 1:2 is

Dear student

 

….….…...(1) similarily k = 2n/3….…....(2) Now put the value of n and m in n^2 + m^2 = a^2 from eq 1 and 2 Now P divides AB in the ratio 1:2 So Take P (h,k) Take end points on x and y axis as A(0,n) and B(m, 0) Now AB=a So 

….….…...(1)

similarily k = 2n/3….…....(2)

 

Now put the value of n and m in n^2 + m^2 = a^2 from eq 1 and 2