Q. If one of the diagonals of the square is along the line x=2y and one of the vertices is (3,0),then the sides through this vertex are given by the equation:-

A) `y-3x + 9=0,3y+x - 3=0`

B) `y+3x + 9=0,3y+x - 3=0`

C) `y-3x + 9=0,3y-x + 3=0`

D) `y-3x + 3=0,3y+x + 9=0`

### 1 Answer | Add Yours

Test the equations using the point (3, 0).

Begin by testing the first equation in each set.

**A and C:**

The line for the equation y - 3x + 9 = 0 includes the point (3, 0). You can check this using substitution.

y - 3x + 9 = 0

0 - 3 * 3 + 9 = 0

0 - 9 + 9 = 0

0 = 0 (true)

**B:**

The line for the equation y + 3x + 9 = 0 does not include the point (3, 0). You can check this using substitution.

y + 3x + 9 = 0

0 + 3 * 3 + 9 = 0

0 + 9 + 9 = 0

18 = 0 (false)

**D:**

The line for the equation y - 3x + 3 = 0 does not include the point (3, 0). You can check this using substitution.

y - 3x + 3 = 0

0 - 3 * 3 + 3 = 0

0 - 9 + 3 = 0

-6 = 0 (false)

Now your choices are narrowed down to either A or C. Test the second equation for both choices.

**A:**

3y + x - 3 = 0

3 * 0 + 3 - 3 = 0

0 + 0 = 0

0 = 0 (true)

**C:**

3y - x + 3 = 0

3 * 0 - 3 + 3 = 0

0 - 3 + 3 = 0

0 = 0 (true)

**Both A and C are correct.**

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