Advertisements
Advertisements
Question
Find the coordinates of point P which divides line segment joining A ( 3, -10) and B (3, 2) in such a way that PB: AB= 1.5.
Solution
Given: - PB : AB =1 : 5
∴ PB : PA = 1 : 4
Coordinates of Pare
(x , y) = `((4 xx 3 - 3)/5 , (4 xx 2 - 10)/5) = (9/5 , -2/5)`
P`(9/5 , -2/5)`
APPEARS IN
RELATED QUESTIONS
If the point C (–1, 2) divides internally the line segment joining A (2, 5) and B in ratio 3 : 4, find the coordinates of B
Find the coordinates of the centroid of a triangle whose vertices are (–1, 0), (5, –2) and (8, 2)
To conduct Sports Day activities, in your rectangular shaped school ground ABCD, lines have been drawn with chalk powder at a distance of 1 m each. 100 flower pots have been placed at a distance of 1 m from each other along AD, as shown in the following figure. Niharika runs `1/4` th the distance AD on the 2nd line and posts a green flag. Preet runs `1/5` th the distance AD on the eighth line and posts a red flag. What is the distance between both the flags? If Rashmi has to post a blue flag exactly halfway between the line segment joining the two flags, where should she post her flag?
If the points (-2, -1), (1, 0), (x, 3) and (1, y) form a parallelogram, find the values of x and y.
A (–3, 4), B (3, –1) and C (–2, 4) are the vertices of a triangle ABC. Find the length of line segment AP, where point P lies inside BC, such that BP : PC = 2 : 3.
Find the points of trisection of the segment joining A ( -3, 7) and B (3, -2).
Find the coordinates of the points of trisection of the line segment joining the points (3, -3) and ( 6, 9).
The fourth vertex D of a parallelogram ABCD, whose three vertices are A(–2, 3), B(6, 7) and C(8, 3), is ______.
Find the ratio in which the line 2x + 3y – 5 = 0 divides the line segment joining the points (8, –9) and (2, 1). Also find the coordinates of the point of division.
If (2, 4) is the mid-point of the line segment joining (6, 3) and (a, 5), then the value of a is ______.
