Question

Determine if the points (1,5),(2,3),(-2,-11) are collinear

Answer 1

Your Answer :-

Using the Distance Formula ,

1st and 2nd distance ,

=> $\sqrt{(1-2)^{2}+(5-3)^{2}}$

=> $\sqrt{1+4}$

=>$\sqrt{5}$

2nd and 3rd ,

=>$\sqrt{(2+2)^{2}+(3+11)^{2}}$

=>$\sqrt{16+196}$

=>$\sqrt{212}$

1st and 3rd point .

=>$\sqrt{(1+2)^{2}+(5+11)^{2}}$

=>$\sqrt{9+256}$

=>$\sqrt{265 }$

so ,

Ist and 2nd + 2nd and 3rd = 1st and 3rd is law of collinearity ,

Lets check ,

5+ 212 = 256

217 not equal 256

Hence ,

It does not satisfy the condition , Hence they are not collinear .

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