> solve( {x + y + 5*z + 2*t = 1, x + y + 3*z + 4*t = -3, 2*x + 3*y + 11*z + 5*t = 2, 2*x + y + 3*z + 2*t = -3}, [x, y, z, t])


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>



>

> solve( {x + y + 5*z + 2*t = 1, x + y + 3*z + 4*t = -3, 2*x + 3*y + 11*z + 5*t = 2, 2*x + y + 3*z + 2*t = -3}, [x, y, z, t]);



Geom 4-bet 1-masala

> simplify(x^2+(y-1)^2-(x-2)^2-(y-3)^2=0);

> simplify((x-2)^2+(y-3)^2-(x+1)^2-(y-4)^2=0);



> solve( {4*y-12+4*x = 0, -6*x-4+2*y = 0}, [x, y]);



Geom 4-bet 2-masala



> solve( {(x + 1)^2 + (y - 4)^2 = 24, x + y - 3 = 0}, [x, y]);

Geom 4-bet 3-masala

> d:=Distance([4,-2],[-1,3]);

> s:=1/2*d*d;



Geom 7-bet 25-masala

> with(Student[LinearAlgebra]):

A := <<1,1,1>|<1,2,-4>|<-3,-1,7>>;

>

> modul:=abs(Determinant(A));

> s:=1/2*modul;



> a:=Distance([2,-1],[-4,7]);



> h:=2*s/a;



Geom 7-bet 27-masala

> x1:=-2;

> y1:=1;



> x2:=3;



> y2:=3;



> f:=Pi/2;



> x:=x1+(x2-x1)*cos(f)-(y2-y1)*sin(f);



> y:=y1+(x2-x1)*sin(f)+(y2-y1)*cos(f);



> (x,y);



> x:=x2+(x2-x1)*cos(f)-(y2-y1)*sin(f);



> y:=y2+(x2-x1)*sin(f)+(y2-y1)*cos(f);



> (x,y);



Geom 8-bet 1-masala

> r:=2;

> f:=Pi/3;



> x:=r*cos(f);



> y:=r*sin(f);



> M(x,y);



Geom 8-bet 2-masala

> x:=sqrt(3);

> y:=1;



> r:=sqrt(x^2+y^2);



> cos(ef):=x/r;



> sin(ef):=sqrt(1-cos(ef)^2);



> f:=Pi/6;



> Nuqta(r,f);



Geom 8-bet 3-masala



> x1:=5; y1:=Pi/6; x2:=3; y2:=-Pi/6;







> d:=sqrt(x1^2+x2^2-2*x1*x2*cos(y2-y1));



Geom 13-bet 2-masala

> with(Student[LinearAlgebra]):


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