Home
Class 10
MATHS
If A and B are (-2, -2) and (2,-4) , re...

If A and B are (-2, -2) and (2,-4) , respectively, find the coordinates of P such that `AP = (3)/(7)` AB and P lies on the line segment AB

Text Solution

Verified by Experts

The correct Answer is:
`(-(2)/(7),-(20)/(7))`
Promotional Banner

Topper's Solved these Questions

  • COORDINATE GEOMETRY

    KUMAR PRAKASHAN|Exercise Exercise 7 . 3|5 Videos
  • COORDINATE GEOMETRY

    KUMAR PRAKASHAN|Exercise Exercise 7 . 4|8 Videos
  • COORDINATE GEOMETRY

    KUMAR PRAKASHAN|Exercise Exercise 7 . 1|10 Videos
  • CONSTRUCTIONS

    KUMAR PRAKASHAN|Exercise OBJECTIVE QUESTIONS|25 Videos
  • INTRODUCTION TO TRIGONOMETRY

    KUMAR PRAKASHAN|Exercise Objective Questions|24 Videos

Similar Questions

Explore conceptually related problems

If A and B are (-2, -2) and (2, -4) respectively, find the coordinates of P on AB such that AP = (3)/(7) AB.

Find the coordinates of the point P on AD such that AP : PD = 2 : 1.

In Figure, if P is (2, 4, 5), find the coordinates of F.

If A and B be the points (3, 4, 5) and (-1, 3, -7) respectively, find the equation of the set of points P such that PA^(2)+PB^(2)=k^(2) , where k is a constant.

The line segment joining the points P(3,3) and Q(6,-6) is trisected by the points A and B such that A is nearer to p. If A also lies on the line given by 2x + y + k = 0 , find the value of k.

The end points of a line segment are (2, 3), (4, 5). Find the slope of the line segment.

Let A, B, C be the feet of perpendiculars from a point P on the X, Y, Z - axis respectively. Find the coordinates of A, B and C in each of the following where the point P is : (i) P(3, 4, 2) (ii) P(-5, 3, 7) (iii) P(4, -3, -5)

Find the coordinates of the points of trisection of the line segment joining (4,-1) and (-2, -3)

vec(AB)=3bari-barj+bark and vec(CD)= -3bari+2barj+4bark are two vectors. The position vectors of the points A and C are 6bari + 7barj + 4bark and -9bari + 2bark respectively. Find the position vector of a point P on the line AB and a point Q on the line CD such that vec(PQ) is perpendicular to vec(AB) and vec(CD) both.