Home › UP Board Class 10 › mathematics › coordinate_geometry › Are the points A(1, 1), B(2, 3), C(3, 5) colline…
Are the points A(1, 1), B(2, 3), C(3, 5) collinear?
AYes
BCannot tell
CNo
DOnly if rotated
Answer & Solution
Correct answer: A. Yes
AB = √(1+4) = √5. BC = √5. AC = √(4+16) = √20 = 2√5 = AB + BC. The three are collinear.
Related questions
Point (3, k) is the midpoint of segment joining (1, 4) and (5, 6). Find k.The centroid of a triangle with vertices A(1, 1), B(4, 7), C(7, 1) is:Find the point dividing the segment joining (4, −1) and (−2, −3) in the ratio 1 : 3.The midpoint of segment AB is (4, 5). If A = (2, 3), what is B?Find the point P that divides the segment joining A(1, 2) and B(7, 8) in the ratio 1 : 2.Find the midpoint of A(2, −3) and B(8, 5).Find x such that the distance from (x, 1) to (2, 3) is √8.Determine whether triangle with vertices A(0, 0), B(4, 0), C(0, 3) is right-angled.