#include<bits/stdc++.h>
using namespace std;
double a,b,c,d,x,y,z,u,v,w,eps=1e-9;
struct point{
	double x,y;
	inline point operator + (const point &rhs)const{
	    return (point){x+rhs.x,y+rhs.y};
	}
	inline point operator - (const point &rhs)const{
	    return (point){x-rhs.x,y-rhs.y};
	}
	inline point operator * (const double &rhs)const{
	    return (point){x*rhs,y*rhs};
	}
	inline bool operator == (const point &aa)const{
		return (fabs(x-aa.x)<eps&&fabs(y-aa.y)<eps);
	}
	inline void prt(){
		printf("%.2lf %.2lf\n",x,y);
	}
};
inline double cross(const point &lhs,const point &rhs){
	return lhs.x*rhs.y-lhs.y*rhs.x;
}
inline point inter(point p1,point p2,point p3,point p4){
	double ls=cross(p2-p1,p3-p1),rs=cross(p4-p1,p2-p1);
//	p1.prt(),p2.prt(),p3.prt(),p4.prt();
//	std::cout<<ls<<' '<<rs<<'\n';
	return p3+(p4-p3)*(ls/(ls+rs));
}
int main(){
//	std::cout<<inter({0,0},{1,9},{0,9},{1,0}).y<<'\n';
	int T;
	cin>>T;
	while(T--){
		cin>>x>>y>>z>>a>>b>>u>>v>>w>>c>>d;
		if(x==u&&y==v) cout<<"2\n";
		else if((fabs(a*d-b*c)<=eps)){
			if(fabs(a*(x-u)+b*(y-v))<=eps) cout<<"2\n";
			else{
				cout<<"4\n";
//				if((fabs(a*(y-v)+b*(x-u))<=eps||fabs(a*(y-v)-b*(x-u))<=eps)&&z==w) cout<<"4\n";
//				else cout<<"3\n";
			}
		}
		else{
			point e=inter({x,y},{x+b,y-a},{u,v},{u+d,v-c});
			if(z==w&&(e==(point){x,y}||e==(point){u,v})){
				cout<<"4\n";
				continue;
			}
//			printf("%.2f %.2f !!\n",e.x,e.y);
			double fz=(x-e.x)*(x-e.x)+(y-e.y)*(y-e.y)+(u-e.x)*(u-e.x)+(v-e.y)*(v-e.y);
			printf("%.6f %.6f %.6f %.6f !!!\n",e.x,e.y,fz,(x-u)*(x-u)+(y-v)*(y-v)+(z-w)*(z-w)/2);
			if(fz>eps+(x-u)*(x-u)+(y-v)*(y-v)+(z-w)*(z-w)/2) cout<<"4\n";
			else cout<<"3\n";
		}
	}
	return 0;
}