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)

Question

Philoid · Accepted 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.

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)

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)