Question

are A(-3,5),B(0,3),C(3,1)collinear justify​

Answer 1

Answer:

for collinearity, AB + BC = AC

AB = √{(0-(-3)}² + (3-5)²

=> √3² + (-2)²

=> √9 + 4

=> √13

BC = √(3-0)² + (1-3)²

=> √{3² + (-2)²}

=> √(9 + 4)

=> √13

AC = √{(3-(-3)² + (1-5)²}

=> √{(6² + (-4)²}

=> √(36 + 16)

=> √52

=> √(13×4)

=> 2√13

AB + BC = √13 + √13 = 2√13 = AC

since AB + BC = AC, three points are collinear