[" Prove fhat the st.line "x+y=3a" is "],[" a tanpent to the curvel "x^(3)+y^(3)=3axy]

Prove that the line x+y=3a touches the curve x^(3)+y^(3)=3axy; find the coordinates of the point of contact

Prove that the line x+y=3a touches the curve x^(3)+y^(3)=3axy, find the coordinnates of the points of contact.

Prove that the lines x+3y+2=0 and 3x-y=0 are perpendicular.

Prove that the lines x+3y+2=0 and 3x-y=0 are perpendicular.

Prove that the lines 2x+3y=19 and 2x+3y+7=0 are equidistant from the line 2x+3y=6 .

Prove that the lines 2x+3y=19 and 2x+3y+7=0 are equidistant from the line 2x+3y=6 .

" The line "4x+3y=-12" meets x-axis at the point "

Which of the st.lines 2x-y+3=0 and x-4y-7=0 is farther from the origin ?

Which of the st.lines 2x-y+3=0 and x-4y-7=0 is farther from the origin ?