1.If a point PPP denotes the complex number z=x+iyz = x + iyz=x+iy in the Argand plane and if z−(2+i)z+(1−2i)\frac{z - (2 + i)}{z + (1 - 2i)}z+(1−2i)z−(2+i) is purely real, then the locus of PPP isa.the line x+3y−5=0x + 3y - 5 = 0x+3y−5=0 excluding the point (−1,2)(-1, 2)(−1,2)b.the circle x2+y2−x−3y=0x^2 + y^2 - x - 3y = 0x2+y2−x−3y=0 excluding the point (−1,2)(-1, 2)(−1,2)c.the line x+3y−5=0x + 3y - 5 = 0x+3y−5=0 and the circle x2+y2−x−3y=0x^2 + y^2 - x - 3y = 0x2+y2−x−3y=0 excluding the point (−1,2)(-1, 2)(−1,2)d.the circle x2+y2−2x−6y+5=0x^2 + y^2 - 2x - 6y + 5 = 0x2+y2−2x−6y+5=0 excluding the point (−1,2)(-1, 2)(−1,2)Login to continueOnly logged in users canattempt or see the solution.