The locus of any point $P\left(z\right)$ on argand plane is $arg \left(\frac{z-5i}{z+5i}\right)=\frac{\pi }{4}$ 

Then the length of the arc described by the locus of $P\left(z\right)is\frac{15\pi }{\sqrt{2}}$

Total number of integral points inside the region bounded by the locus of P(z) and imaginary axis on the argand plane is 136 

Area of the region bounded by the locus of a complex number ‘Z’ satisfying $\arg \left(\frac{z+5i}{z-5i}\right)=\pm \frac{\pi }{4}is75\pi +50$

Area of the region bounded by the locus of a complex number ‘Z’ satisfying $\arg \left(\frac{z+5i}{z-5i}\right)=\pm \frac{\pi }{4}is75\pi +25$