Determine whether the points P(2,3), Q(5,7) and R(8,11) are collinear.

MATHEMATICS · Single correct · CBSE · Mathematics · Straight Lines · Straight Lines

Problem

Determine whether the points P(2,3), Q(5,7) and R(8,11) are collinear. (a) No, because the slopes of

PQ

and

QR

are unequal (b) Yes, because the slopes of

PQ

and

QR

are both

\displaystyle\frac{3}{4}

PQ,\;QR

and

PR

are all equal (d) No, since the product of the slopes of

PQ

and

QR

1

, making them perpendicular rather than collinear