In the above question I made the figure like that and did the question like this but I am getting answer as -1 whereas the answer is 1 . plz explain me briefly

Question

In the above question I made the figure like that and did the
question like this but I am getting answer as -1 whereas the answer
is 1 plz explain me briefly

Gursheen Kaur · Accepted Answer

Solution:let A0,-1,B2,1,C0,3 be the vertices of agiven △abc
let P,Q,R be the midpoints of linesegment AB,BC,CA
Then the coordinates of P,Q,R are given asP0+22,-1+12,Q2+02,1+32,R0+02,3-12P1,0,Q1,2,R0,1x1=1,y1=0,x2=1,y2=2,x3=0,y3=1Area of△PQR=12x1y2-y3+x2y3-y1+x3y1-y2                    =1212-1+11-0+00-2                     =121+1=12×2=1sq unit
Area of given△ABC=12x1y2-y3+x2y3-y1+x3y1-y2                                =1201-3+23+1+0-1-1                                =128=4sq unit
Ratio in the both △ABC and△PQR=4:1
<img alt="" src=
"https://s3mn%20mnimgs%20com/img/shared/content_ck_images/ck_627fca879eedb%20jpg"
style="width: 50px; height: 45px;">
The points PQR plotted are taken incorrectly So, the answer came
was wrong by you