Q. 3 C4.2( 6 Votes )

State whether the two lines in each of the following are parallel, perpendicular or neither :

Through (6, 3) and (1,1); through (– 2, 5) and (2, – 5)

Answer :

We have given Coordinates off two line.

Given: (6, 3) and (1,1) and (– 2, 5) and (2, – 5)


To Find: Check whether Given lines are perpendicular to each other or parallel to each other.


Concept Used: If the slopes of this line are equal the the lines are parallel to each other. Similarly, If the product of the slopes of this two line is – 1, then lines are perpendicular to each other.


The formula used: Slope of a line, m =


Now, The slope of the line whose Coordinates are (6, 3) and (1, 1)




So, m1 =


Now, The slope of the line whose Coordinates are (– 2, 5) and (2, – 5)




So, m2 =


Here, m1m2 =


m1m2 = – 1


Hence, The line is perpendicular to other.


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