The two lines 2x + 3y = 7, 8x + 12y = 1 are________lines
A)
Perpendicular
B)
Parallel
c) Intersecting
D)
coincident
Answers
Answer:
coincident it right or wrong
please you can tell me the answer
The two lines 2x + 3y = 7 , 8x + 12y = 1 are parallel lines [ The correct option is B) Parallel ]
Given :
The lines 2x + 3y = 7 , 8x + 12y = 1
To find :
The two lines 2x + 3y = 7 , 8x + 12y = 1 are________lines
A) Perpendicular
B) Parallel
C) Intersecting
D) Coincident
Concept :
For the given two lines
1. Intersecting lines :
2. Coincident lines :
3. Parallel lines :
4. Perpendicular lines :
Solution :
Step 1 of 2 :
Write down the given pair of equations
Here the given pair of linear equations are
2x + 3y = 7 - - - - - (1)
8x + 12y = 1 - - - - - (2)
Step 2 of 2 :
Specifiy the name of the lines
The given pair of lines can be rewritten as
2x + 3y - 7 = 0 - - - - - (1)
8x + 12y - 1 = 0 - - - - - (2)
Comparing with the equations
a₁x + b₁y + c₁ = 0 and a₂x + b₂y + c₂ = 0 we get
a₁ = 2 , b₁ = 3 , c₁ = - 7 and a₂ = 8 , b₂ = 12 , c₂ = - 1
Now we have ,
∴ The two lines 2x + 3y = 7 , 8x + 12y = 1 are parallel lines
Hence the correct option is B) Parallel
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