Equation of plane which passes through the intersection point of the lines `L_1:(x-1)/3=(y-2)/1=(z-3)/2 and L_2:(x-2)/2=(y-1)/2=(z-6)/- 1` and has the largest distance from origin

Equation of a plane which passes through the point of intersection of lines (x-1)/(3)=(y-2)/(1)=(z-3)/(2) and (x-3)/(1)=(y-1)/(2)=(z-2)/(3) and at greatest distance from the origin is

The equation of a plane which passes through the point of intersection of lines (x-1)/(3)=(y-2)/(1)=(z-3)/(2) , and (x-3)/(1)=(y-1)/(2)=(z-2)/(3) and at greatest distance from point (0,0,0) is

Equation of the plane passing through the point of intersection of lines (x-1)/(3)=(y-2)/(1)=(z-3)/(2)&(x-3)/(1)=(y-1)/(2)=(z-2)/(3) and perpendicular to the line (x+5)/(2)=(y-3)/(3)=(z+1)/(1) is

Equation of the plane passing through the point of intersection of lines (x-1)/(3)=(y-2)/(1)=(z-3)/(2)&(x-3)/(1)=(y-1)/(2)=(z-2)/(3) and perpendicular to the line (x+5)/(2)=(y-3)/(3)=(z+1)/(1) is

Find the equation of the line passing through the intersection of (x-1)/(2)=(y-2)/(-3)=(z-3)/(4) and (x-4)/(5)=(y-1)/(2)=z and also through the point (2,1,-2)

The shortest distance between lines L_(1):(x+1)/(3)=(y+2)/(1)=(z+1)/(2) , L_(2):(x-2)/(1)=(y+2)/(2)=(z-3)/(3) is

The shortest distance between lines L_(1):(x+1)/(3)=(y+2)/(1)=(z+1)/(2) , L_(2):(x-2)/(1)=(y+2)/(2)=(z-3)/(3) is

The shortest distance between the lines L_(1) : (x+1)/3 = (y+2)/1 =(z+1)/2 L_(2) = (x-2)/1 = (y+2)/2 = (z-3)/3 is

The equation of the straight line passing through the origin and perpendicular to the lines (x+1)/(-3)=(y-2)/(2)=(z)/(1) and (x-1)/(1)=(y)/(-3)=(z+1)/(2) has the equation