Q80

MCQ2 marks, −0.5

Let $P_{1},P_{2},\ldots,P_{n}$ be $n$ points in the $xy-$ plane such that no three of them are collinear. For every pair of points $P_{i}$ and $P_{j}$ , let $L_{ij}$ be the line passing through them. Let $L_{ab}$ be the line with the steepest gradient amongst all $\frac{n(n -1)}{2}$ lines. Which one of the following properties should necessarily be satisfied ?

(A)

$P_{a}$ and $P_{b}$ are adjacent to each other with respect to their $x$ -coordinate

(B)

Either $P_{a}$ or $P_{b}$ has the largest or the smallest $y$ -coordinate among all the points

(C)

The difference between $x$ -coordinates $P_{a}$ and $P_{b}$ is minimum

(D)

None of the above

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