Question

In the given figure abc is a rhombus find equation of diagonal ac and bd if diagonal ac passes through the point (3,2)

Answer 1

Answer:

here is your answer:

Step-by-step explanation:

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

Hence, this is the answer.