If points P(0,0) , Q(2,b) , R(a,4) and S(4,4) are the vertices of a parallelogram PQRS , Find the value - Maths - Coordinate Geometry

Question

If points P(0,0) , Q(2,b) , R(a,4) and S(4,4) are the vertices of a
parallelogram PQRS , Find the value of a and b is the ans
of this is a=6 and b=0 ?

Shruti Tyagi · Accepted Answer

Dear Student,

Diagonals of a parallelogram bisect each other, using this propertywe will find the mid points of two diagonals
Mid point of PR=a+02,4+02Mid point of QS=4+22,4+b2as the diagonals bisect, the coordinates of both mid points should be samehence a+02 =4+22 and 4+02=4+b2from above we geta=4+2 ⇒a=6and b+4=4 ⇒b=0
Regards,

If points P(0,0) , Q(2,b) , R(a,4) and S(4,4) are the vertices of a parallelogram PQRS , Find the value of a and b....is the ans of this is a=6 and b=0 ?