Question

If the figure formed by joining the points A(0, 0), B(0, a), C(2, 0) and D(2, a) is a square, then the value of 'a' can be

• A.
  1
• B.
  Zero
• C.
  2
• D.
  4

Answer 1

The correct option is C

2

Given that the figure formed by joining the points A(0, 0), B(0, a), D(2, a) and C(2, 0) is a square.

Clearly, AC is 2 units.

Now, all the sides of a square are equal.

Thus, square ABDC has sides of length 2 units each.

Therefore, AB is also 2 units.

$\Rightarrow a=2$

Hence, the correct answer is option (c).