The point (4, 1) undergoes the following two successive transformation

1.	The point (4, 1) undergoes the following two successive transformations :(i) Reflection about the line y = x(ii) Translation through a distance 2 units along the positive x-axis Then the final coordinates of the point are(A) (4, 3) (B) (3, 4) (C) (1, 4) (D) (7/2,7/2)
Answer» Answer is (B) Reflection of A (4, 1) in y = x is 5(1,4). Now translation of point B through a distance ‘2’ units along the positive x-axis shifts B to C( 1 + 2,4) or C(3,4).

The point (4, 1) undergoes the following two successive transformations :(i) Reflection about the line y = x(ii) Translation through a distance 2 units along the positive x-axis Then the final coordinates of the point are(A) (4, 3) (B) (3, 4) (C) (1, 4) (D) (7/2,7/2)

Answer»

Answer is (B)

Reflection of A (4, 1) in y = x is 5(1,4).

Now translation of point B through a distance ‘2’ units along the positive x-axis shifts B to C( 1 + 2,4) or C(3,4).