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, m_{1} =

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

So, m_{2} =

Here, m_{1}m_{2 =}

m_{1}m_{2 =} – 1

Hence, The line is perpendicular to other.

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