Question

For which value of x is xyza a rectangle

Answer 1

1.B

2.B

3.A

4.C

I just took the quick check %100 ♥

Answer 2

The required value of x for which XYZA is a rectangle : x = -1

Explanation:

Let the diagonals of the rectangle XYZA meet at point C

Since, The diagonal of rectangle bisect each other

⇒ AY = 2 × AC

⇒ AY = 2 × (5x - 5)

⇒ AY = 10x - 10

Also, XZ = 2 × CZ

⇒ XZ = 2 × (3x + 3)

⇒ XZ = 6x + 6

Now, Diagonals of rectangle are congruent to each other

⇒ AY = CZ

⇒ 10x + 10 = 6x + 6

⇒ 4x = -4

⇒ x = -1

Hence, The required value of x for which XYZA is a rectangle : x = -1