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Answer:
The line 2 and Line 3 are perpendicular to each others
But There is no relation between Line 1 and Line 2 , Line 1 and Line 3
Step-by-step explanation:
Given as :
The three line equation is
Line 1 : 2 y = 5 x + 6
Line 2 : y = x - 1
Line 3 : 10 x + 4 y = - 6
Now, The standard equation of line is
y = m x + c
where m is the slope of line
And c is the y intercept
So, From Line 1
2 y = 5 x + 6
or , y = x +
I.e y = x + 3
So, slope of this line = =
Again , From Line 2
y = x - 1
So, slope of this line = =
Similarly , From Line 3
10 x + 4 y = - 6
I.e 4 y = - 6 - 10 x
or, y = - -
x
I.e y = - x -
So, Slope of this line = = -
<u>Now, If the lines are parallel , then the slope of the lines are equal</u>
<u>And If the lines are perpendicular , then the product of the slopes of the lines = - 1</u>
Now, From given lines
×
=
× ( -
)
I.e ×
= - 1
So, The line 2 and Line 3 are perpendicular to each others
But There is no relation between Line 1 and Line 2 , Line 1 and Line 3
Hence The line 2 and Line 3 are perpendicular to each others
But There is no relation between Line 1 and Line 2 , Line 1 and Line 3 Answer