Two sides of a square are along the lines 5 x-12 y+39=0 and 5 x-12 y+78=0 , then area of the square is

Step-by-step solution

Given equations of lines are 5 x-12 y+39=0 and 5 x-12 y+78=0 . Slope of 5 x-12 y+39=0 is 5 12 Slope of 5 x-12 y+78=0 is 5 12 Lines are parallel. Distance between two parallel lines = | c ₁- c ₂ a ^2+ b ^2 | aligned & = | 39-78 5^2+(-12)^2 | & =3 units aligned Side of the square =3 units Area of square =3^2=9 sq. units