Correct option (A) x + y = 3
the intersection of the given lines is of the form
(2x - 5y + 1) λ(3x + 2y - 8) = 0
On simplification we get (2 + 3λ)x + (2K - 5)y + 1 8λ = 0
whose intercepts on the axes are
If λ = 1/8 then the line is x - 2y = 0 which is not the case. Hence x = -7 and the required line is -19x - 19y + 57 = 0 or x + y - 3 = 0
Direct Method: The point of intersection of the given lines is (2, 1). Any line having equal intercepts on the coordinates axes is of the form x + y = a. This line passes through the point (2, 1) which implies that a = 3. Hence the equation of the required line is x + y = 3.