Question

In the given figure, ABCD is a rhombus. Find the equation of diagonals AC and BD if diagonal AC passes through the point (8,-4).​

Answer 1

Answer:

Given points are

O(x,y)=(3,4)

A(x

1

,y

1

)=(1,2)

Point C coordinates are C(x

2

,y

2

)=?

Now,

3=

2

1+x

2

,4=

2

2+y

2

x

2

=5,y

2

=6

So, equation of diagonal is

y−y

1

=

x

2

−x

1

y

2

−y

1

(x−x

1

)

⇒y−2=

5−1

6−2

(x−1)

⇒y−2=

4

4

(x−1)

⇒y−2=x−1

⇒x−1−y+2=0

⇒x−y+1=0