Plot the points `(x,y)` given by the following table.
`{:(x,2,4,-3,-2," "3,0),(y,4,2," "0," "5,-3,0):}`

Solve the following by Cramer's rule : 2y-3z=0, x+2y+4=0, 3x+4z-3=0

Examine the consistency of the following equations. 2x+3y-4=0,x+2y-3=0,3x+4y+5=0

Examine the consistency of the following equations: 2x+y+3=0,4x+3y+5=0,3x+2y+4=0

The point of intersection of the lines represented by (x-3)^(2)+(x-3)(y-4)-2(y-4)^(2)=0 is

In the following cases, find the distance of each of the given points from the corresponding given plane. {:("Point","Plane"),("(a) (0, 0, 0)","3x – 4y + 12z = 3"),("(b) (3, -2, 1)","2x - y + 2z + 3 = 0"),("(C) (2, 3, -5)","x + 2y – 2z = 9"),("(d) (6, 0, 0)","2x - 3y + 6z - 2 = 0"):}

In the following cases, find the distance of each of the given points from the corresponding given plane. {:("Point","Plane"),("a. (0,0,0),3x-4y+12z=3),(b. (3,-2,1),2x-y+2z+3=0),(c.(2,3,-5),x+2y-2z=9),(d.(-6,0,0),2x-3y+6z-2=0):}

Find the point of intersection of the straight lines : (i) 2x+3y-6=0 , 3x-2y-6=0 (ii) x=0 , 2x-y+3=0 (iii) (x)/(3)-(y)/(4)=0 , (x)/(2)+(y)/(3)=1

For the circle 2x^(2)+2y^(2)-5x-4y-3=0 the point (3, 5)

Solve the following equations : 0.2x+0.3y=1.3 0.4x+0.5y=2.3