The points $(5, 1), (1, - 1)$ and $(11, 4)$ are:

Collinear

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Vertices of right angled triangle

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Vertices of equilateral triangle

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Vertices of isosceles triangle

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Solution

The correct option is D Collinear
Let the points be $A (5, 1), B (1, - 1),$ and $C (11, 4)$ .
Then,
$A B = 2 \sqrt{5}, B C = 5 \sqrt{5}$ and $C A = 3 \sqrt{5}$
Thus, $A B + C A = B C$
Therefore, $A, B,$ and $C$ are collinear.

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