Question

Find the value of k so that the lines x=-y=kz and
- 2 = 2y + 1 = - 2 + 1 are
perpendicular to each other.​

Answer 1

Answer:

Step-by-step explanation:

Given:2x+ky−9=0    .......(1)

Slope of line (1)=−  

coefficientofy

coefficientofx

​  

=−  

k

2

​  

 

Given:2x+3y−1=0     .......(2)

Slope of line (2)=−  

coefficientofy

coefficientofx

​  

=−  

3

2

​  

 

As the lines (1) and (2) are perpendicular, the product of their slopes=−1

⇒  

k

−2

​  

×  

3

−2

​  

=−1

⇒  

3k

4

​  

=−1

⇒4=−3k

⇒k=  

3

−4

​