Question

If the straight lines. 3x + 2y - 3 = 0, 5x + 2py - 7 = 0 are parallel
find the value of p​

Answer 1

If the lines 3x+2ky=2 and 2x+5y+1=0 are parallel, then find the value of k.

Study later

ANSWER

Suppose that we have to parallel lines a  

1

​  

x+b  

1

​  

y+c  

1

​  

=0 & a  

2

​  

x+b  

2

​  

y+c  

2

​  

=0 then,ratio of coefficient of x and y are equal i.e.    

a  

2

​  

 

a  

1

​  

 

​  

=  

b  

2

​  

 

b  

1

​  

 

​  

.

Now, according to given equations

3x+2ky=2

2x+5y+1=0

compairing coeffient  of x& y and applying rule,

2

3

​  

=  

5

2k

​  

 

⇒4k=15

So value of k=  

4

15

​  

.​  

.