Assertion(A): The point (-1,6) divides the line segment joining the points (-3,10) and (6,-8) in the ratio 2:7 internally. Reason(R): Three points A,B and C are collinear if AB + BC = AC

Collinearity of Three Points Using Distance Formula, Section Formula for Internal Division | PadhAiPro

Question

Assertion-ReasonCollinearity of Three Points Using Distance FormulaSection Formula for Internal Division

Similar Questions

Find the ratio in which the point (8/5, y) divides the line segment joining the points (1, 2) and (2, 3). Also, find the value of y.

TextClassification of Quadrilaterals Using Distance FormulaSection Formula for Internal DivisionMid-Point Formula in Coordinate GeometryFinding Ratio of Division of Line Segment

ABCD is a rectangle formed by the points A (−1, −1), B (−1, 6), C (3, 6) and D (3, −1). P, Q, R and S are mid-points of sides AB, BC, CD and DA respectively. Show that diagonals of the quadrilateral PQRS bisect each other.

TextClassification of Quadrilaterals Using Distance FormulaSection Formula for Internal DivisionMid-Point Formula in Coordinate GeometryFinding Ratio of Division of Line Segment

In the following figure, P and Q are points of trisection of line segment AB : the value of AB/PB =

MCQ (Single)Section Formula for Internal DivisionTrisection of a Line Segment

The coordinates of the end points of the line segment AB are A(−2, −2) and B(2, −4). P is the point on AB such that BP = 4/7 AB. Find the coordinates of point P.

TextSection Formula for Internal DivisionFinding Ratio of Division of Line Segment

The point P divides the line segment AB in the ratio 3 : 1 as shown below : The value of AB/PB is

MCQ (Single)Section Formula for Internal Division

In the figure given below, points P, Q, R divides the line segment AB in four equal parts. The point Q divides PB in the ratio

MCQ (Single)Section Formula for Internal Division