Question

if the points p(a,-11), q(5, b), r(2, 15) and s(1, 1) are the vertices of a parallelogram PQRS .find the value of a and b.

Answer 1

the difference between abscissa of p and q will be equal to the difference between the abscissa of q and s and the same goes for the ordinate between p and r, and q and s
a-5=2-1
a=6

b-1=-11-15
b=-25

Answer 2

Answer:

Step-by-step explanation:

Slope of PQ=SR

(a-5)/(-11-b)=(1–2)/(1–15)

a= -(b+11)/14 +5 …..(1)

Slope PS=QR

(a-1)/(-11–1)=(5–2)/(b-15)

(b-15)((b+11)/14–4)=36

(b-15)(b-45)=36*14

b^2–60b+171

Sol : b = (60+/-54)/2

b=3, a=4,

b=57, a=69/7

I hope you are happy!!!!