Given two points P and Q, and that (1) the image of P on reflection in the y-axis is the point Q and (2) the midpoint of PQ is invariant on reflection in x-axis. Locate
(i) the x-axis
(ii) the y-axis and
(iii) the origin.
Solution:
The point (-3, 0) on reflection in a line is mapped as (3, 0) and the point (2, -3) on reflection in the same line is mapped as (-2, -3).
(i) Name the mirror line.
(ii) Write the coordinates of the image of (-3, -4) in the mirror line.
Solution:
More Solutions:
- In an A.P., if a = 3 and S8 = 192, then d is
- The number of two-digit numbers which are divisible by 3 is
- The sum of first 10 even whole numbers is
- The 11th of the G.P. (1/8), (-1/4), 2, -1, ….. is
- If k, 2(k + 1), 3(k + 1) are three consecutive terms of a G.P.
- The sum of the first 8 terms of the series 1 + √3 + 3 + … is