Home
Class 12
MATHS
ABCD is a parallegram. If the co-ordinat...

ABCD is a parallegram. If the co-ordinates of A, B,C are (2,3), (1,4) and (0,-2) respectively, find the co-ordinates of D.

Text Solution

Verified by Experts

Let the co-ordinate of D be (x,y). Since ABCD is a parallelogram.
`:. Vec(AB)=vec(DC)`
`rArr (hati+4hatj)-(2hati+3hatj)=(0hati-2hatj)-(xhati+yhatj)`
`rArr x=1" and " y=-3`

Hence the co-ordinates of point D are (1,-3).
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    AAKASH INSTITUTE|Exercise ILLUSTRATION|1 Videos

  • VECTOR ALGEBRA

    AAKASH INSTITUTE|Exercise TRY YOURSELF|20 Videos

  • TRIGNOMETRIC FUNCTIONS

    AAKASH INSTITUTE|Exercise Section - J (Akash Challengers Question)|15 Videos

Similar Questions

Explore conceptually related problems

ABCD is a parallelogram.If the coordinates of A,B,C are (2,3),(1,4) and (0,-2) respectively,find the coordinates of D.

Point P is mid-point of the line segment AB. The co-ordinates of P and B are (3,1) and (5,-4) respectively. Find the co-ordinates of A

In a triangle PQR, the co- ordinates of points P, Q and R are (3, 2) , (6, 4) and (9, 3) respectively . Find the co-ordinates of centroid G. Also find areas of Delta PQG and Delta PRG .

If the co-ordinates of points A andB are (-5,0) and (2,0) respectively, then find d (A,B)

D is the midpoint of line segment AB. The co-ordinates of A and D are (2, 4) and (-1, 3), respectively. The co-ordinates of B are:

D is the midpoint of the segment AB. The co-ordinates of A and D are (2,4) and (-1,3), respectivley. The co-ordiantes of B are:

The co-ordinates of the mid-point of line joining the points A and B are (2, -3). If the co-ordinates of point A are (-3, 4), then find the co- ordinates of point B.

ABC is an isosceles triangle.If the co- ordinates of the base are (1,3) and (-2,7) then co-ordinates of vertex A can be: (-(1)/(2),5) (b) (-(1)/(8),5)((5)/(6),-5) (d) (-7,(1)/(8))

What are the co-ordinates of the mid-point of A(1,4) and D(3,5) ?