If three points A, B and C are collinear and B lies between A and C, then,
(I) Four points will form:
(a) A parallelogram if it’s opposite sides is equal, but diagonals are unequal.
(b) A rectangle if opposite sides is equal and two diagonals are also equal.
(c) A rhombus if all the four sides are equal, but diagonals unequal,
(d) A square if all sides are equal and diagonals are also equal.
(II) Three points will form:
(a) An equilateral triangle if all the three sides are equal.
(b) An isosceles triangle if any two sides are equal.
(c) A right angled triangle if sum of square of any two sides is equal to square of the third side.
(d) A triangle if sum of any two sides (distances) is greater than the third side (distance).
(III) Three points A, B and C are collinear or lie on a line if one of the following holds
(i) AB + BC — AC
(ii) AC + CB AB
(iii) CA + AB CB.
Find the distance of the point (-3, 4) from the x-axis.
B(-3, 0), A (-3, 4)
If the points A(x, 2), B(-3, 4) and C(7, -5) are collinear, then find the value of x.
When the points are collinear,
In which quadrant the point P that divides the line segment joining the points A (2, -5) and B(5,2) in the ratio 2 : 3 lies?