Five discs numbered 1, 2, 3, 4 and 5 are placed in bag X. Three discs numbered 1, 2 and 3 are placed in bag Y. One disc is taken out from X and one from Y. These represent the coordinates of a point o

Five discs numbered 1, 2, 3, 4 and 5 are placed in bag X. Three discs numbered 1, 2 and 3 are placed in bag Y. One disc is taken out from X and one from Y. These represent the coordinates of a point on the positive x-axis and y-axis respectively, for example (1, 3). Calculate the probability that after one selection from each bag, the selected point

 a lies on the line y = x

 b lies on the line x = 2

c lies on the line y = 2x − 5 

d lies on the curve y = x2 − 6.