The points $(1, 1), (- 2, 7)$ and $(3, - 3)$

Form a right angled triangle

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Form an isosceles triangle

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are collinear

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none of the above

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Solution

The correct option is C are collinear
$A B = \sqrt{{(1 + 2)}^{2} + {(1 - 7)}^{2}} = \sqrt{3^{2} + 6^{2}} = \sqrt{45} B C = \sqrt{{(- 2 - 3)}^{2} + {(7 + 3)}^{2}} = \sqrt{5^{2} + 10^{2}} = \sqrt{125}$
Slope of AB = $\frac{7 - 1}{- 2 - 1} = \frac{6}{- 3} = - 2$
Slope of BC = $\frac{- 3 - 7}{3 + 2} = \frac{- 10}{5} = - 2 ∴ C o l l i n e a r p o i n t s .$

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