Question

Statement (1): The vertex B of square OABC with each side 4 units lies in fourth quadrant and its sides are along the co-ordinate axes. The co-ordinates of vertex B are (4, −4).

Statement (2): B = (4, 4).

Options

• Both the statements are true.

• Both the statements are false.

• Statement 1 is true, and statement 2 is false.

• Statement 1 is false, and statement 2 is true.

Answer 1

Statement 1 is true, and statement 2 is false.

Explanation:

A square OABC with each side of length 4 units situated in the fourth quadrant has its vertices at the origin O(0, 0), along the positive x-axis at A(4, 0), along the negative y-axis at C(0, −4), and in the fourth quadrant at B(4, −4). Therefore, Statement 1 correctly identifies the coordinates of vertex B as (4, −4), while Statement 2 incorrectly gives them as (4, 4).