The perpendicular distance from the point (1, ) to the line joining (1,0^ ) and (1, 2 ) , (in polar coordinates) is

Step-by-step solution

Given points (1, ), (1,0^ ) and (1, 2 ) are in polar form. Now, change in cartesian form, aligned & (1, ) (1 , 1 ) (-1,0) & (1,0^ ) (1 0^ , 1 0^ ) (1,0) & and (1, 2 ) (1 2 , 1 2 ) (0,1) & aligned Now, equation of the line passing through (1,0) and (0,1) is aligned & (y-0)= 1-0 0-1 (x-1) & y=-x+1 & x+y-1=0 & aligned So, the perpendicular distance from the point (-1,0) to the line (i) is = |-1+0-1| 1+1 = 2 2 = 2