Math, asked by dram20879, 9 days ago

find the locus of a point which moves so that it at a distance of 3 units from point (3,-1).​

Answers

Answered by senboni123456
2

Answer:

Step-by-step explanation:

Let the point be (h,k)

According to the question,

\rm{\sqrt{\left(k-(-1)\right)^2+\left(h-3\right)^2}=3}

\rm{\implies\left(k+1\right)^2+\left(h-3\right)^2=\left(3\right)^{2}}

\rm{\implies{k}^{2}+2k+1+{h}^{2}-6h+9=9}

\rm{\implies{h}^{2}+{k}^{2}-6h+2k+1=0}

Hence, the required locus is \,\,\,\boxed{\color{orange}{\rm{{x}^{2}+{y}^{2}-6x+2y+1=0}}}

Similar questions