Q. 3 D4.5( 4 Votes )
State whether the two lines in each of the following are parallel, perpendicular or neither :
Through (3, 15) and (16, 6); through (– 5, 3) and (8, 2)
Answer :
We have given Coordinates off two line.
Given: (3, 15) and (16, 6) and (– 5, 3) and (8, 2)
To Find: Check whether Given lines are perpendicular to each other or parallel to each other.
Now,
Concept Used: If the slopes of these line are equal the the lines are parallel to each other. Similarly, If the product of the slopes of these 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 (3, 15) and (16, 6)
So, m1 = 
Now, The slope of the line whose Coordinates are (– 5, 3) and (8, 2)
So, m2 = 
Here, m1≠m2 nor m1m2 = – 1
Hence, The lines are neither perpendicular and nor parallel to each other.
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