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  1. If the side of a square is 1/2 (x + 1) units and its diagonal is (3 – x)/√2 units, then the length of the side of the square would be
    1. 4/3 units
    2. 1/2 unit
    3. 1 unit
    4. 2 units
Correct Option: C

Using Rule 10,
Diagonal of square = √2 × side

=
3 - x
= √2 ×
1
(x + 1)
22

⇒ 3 - x = √2 × √2 ×
1
(x + 1)
2

⇒ 3 – x = x + 1
⇒ x + x = 3 –1
⇒ 2x = 2 ⇒ x = 1 unit



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