If A (-2,-1) ,B (a,0), C (4,b) and D(1,2) are the vertices of parallelogram, find the values of a and b. OR If the mid point of the line segment joining the points A (3,4) and B (k, 6) is P (x,y) and x+y-10=0, then find the value of k.

Asked by Topperlearning User | 22nd Nov, 2013, 03:29: AM

Expert Answer:

We know that the diagonals of a parallelogram bisect each other, i.e., the mid point of AC will be the same as that of BD. \ a = 1 and b = 3 OR Coordinates of the mid point of the line segment joining A (3,4) and B (k,6) = \= (x,y) =x and 5=y Since, x+y-10=0 So, 3+k=10 k = 7

Aswered by  | 22nd Nov, 2013, 05:29: AM