Find the equation of the two straight lines through `(1, 2)` forming the two sides of a square of which `4x+7y=12` is one diagonal

Find the equation of the straight line through (2, 3) and perpendicular to the line 4x-3y=10

Find the equations of two straight lines passing though (1,2) and making an angle of 60^0\ with the line x+y=0 . Find also the area of the triangle formed by the three lines.

Find the equation of the straight line through (x_1, y_1) perpendicular to the line joining (x_2, y_2) and (x_3 , y_3) .

Find the equation of the straight line which passes through the point (-1,0) and is parallel to the straight line y=2x+3.

Find the equation to the straight line which passes through the point of intersection of the straight lines x+2y=5 and 3x+7y=17 and is perpendicular to the straight line 3x+4y=10

Find the equations of the straight line passing through the point (1,2,3) to intersect the straight line x+1=2(y-2)=z+4 and parallel to the plane x+5y+4z=0.

The equation of two straight lines through (7,9) and making an angle of 60^(@) with the line x-sqrt(3)y-2sqrt(3)=0 is