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Question

The line joining the points (8,2),(−5,3) is neither parallel nor perpendicular to the line passing through points (16,6) and (3,15).


A

False

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B

True

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Solution

The correct option is B

True


We know that, slope(m) of the line formed by joining the points (x1,y1) and (x2,y2) is given by

m=y2y1x2x1

Consider points A(8,2) and B(5,3).

Then, slope of AB=3258=113=m1 (say)

Now, consider points P(16,6) and Q(3,15).

Then, slope of PQ=156316=913=m2 (say)

We see that m1m2 and hence AB and PQ are not parallel.

Also, m1×m21 and hence AB and PQ are not perpendicular to each other.

Therefore, the given statement is true.


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