Find the equation of the plane which passes through the points `(1,2,3),(2,3,1) and (3,1,2)`

Find the equation of the plane which passes through the points (3,4,1) and (0,1,0) and parallel to the line (x+3)/2=(y-3)/7=(z-2)/5

Taking the major and minor axes as the axes of coordinates, find the equation of the ellipse Which passes through the point (2,2) and (3,1)

Taking major and minor axes as x and y - axes respectively , find the equation of the ellipse which passes through the point (1,3) and (2,1) .

Find the equation of the plane passing through the points (2,1,0),(5,0,1) and (4,1,1) .

Find the equation of the circle which passes through the points (1,-2),(4,-3) and whose center lies on the line 3x+4y=7.

Find the equation of the plane which passes through the point (1,2,3) and which is at the minimum distance from the point (-1,0,2)dot

Find the equation of the line passing through the points (1,2,3)a n d(-1,0,4)dot

Find the equation of the plane which passes through the point (2,1,-1) and is orthogonal to each of the planes x-y+z=1 and 3x+4y-2z=0 .

Find the vector equations of the plane passing through the points R (2,5,-3),S(-2,-3,5) and T (5,3,-3) .

Find the equation of a plane which passes through the point (1, 2, 3) and which is equally inclined to the planes x-2y+2z-3=0 and 8x-4y+z-7=0 .