Write down the equation of the line containing the points `(x_1,y_1) and (x_2,y_2):x_1nex_2`

Find the equations of the line intersecting the lines (x-a)/1=(y)/1=(z-a)/1 and (x-a)/2=y/1=(z+a)/2 and parallel to the line (x-a)/2=(y-a)/1=(z-2a)/2 .

The equation to the chord joining two points (x_1,y_1)a n d(x_2,y_2) on the rectangular hyperbola x y=c^2 is: x/(x_1+x_2)+y/(y_1+y_2)=1 x/(x_1-x_2)+y/(y_1-y_2)=1 x/(y_1+y_2)+y/(x_1+x_2)=1 (d) x/(y_1-y_2)+y/(x_1-x_2)=1

Find the equation of the plane containing the line (x-3)/7=(y-4)/0=(z-2)/1 and the point (2,2,-1).

Statement 1: The lines (x-1)/1=y/(-1)=(z+1)/1 and (x-2)/2=(y+1)/2=z/3 are coplanar and the equation of the plnae containing them is 5x+2y-3z-8=0 Statement 2: The line (x-2)/1=(y+1)/2=z/3 is perpendicular to the plane 3x+5y+9z-8=0 and parallel to the plane x+y-z=0

Find the equation of the plane containing the line (x-2)/7=(y-2)/1=(z-1)/5 and the point (4, 8, 7).

Find the equation of the plane containing the line : (x-1)/2=(y-2)/-1=(z-3)/4 and perpendicular to the plane x + 2y + z - 2 = 0.

Find the equation of the plane containing the line : (x-1)/3=(y+2)/1=(z-3)/2 and perpendicular to the plane 2x - y + 2z -3= 0.

Find the equation of the plane containing the lines 2x-y+z-3=0, 3x+y+z=5 and at a distance of 1/sqrt6 from the point (2,1,-1) .

Find the equation of the plane containing the line (x+1)/-3=(y-3)/2=(z+2)/1 and the point (0,7,-7).

Find the equation of the plane containing the line : (x+1)/1=(y-2)/2=(z-3)/3 and perpendicular to the plane 3 x - 2 y - z = 4.