Among the equations x + 2y + 9 =0 ; 5x-4=0 ; 2y - 13 = 0; 2x- 3y = 0, the equation of the straight line passing through origin is

For a straight line to pass through origin, both of its x & y coordinates should be '0'.

(A) : 2x - 3y = 0

=> If x = y = 0, then L.H.S. = 0 = R.H.S

=> It passes through origin

(B) : x + 2y + 9 = 0

=> If x = y = 0, then L.H.S. = 9 $$\neq$$ R.H.S. = 0

=> It does not pass through origin

(C) : 5x - 4 = 0

=> If x = 0, then L.H.S. = -4 $$\neq$$ R.H.S. = 0

=> It does not pass through origin

(D) : 2y - 13 = 0

=> If y = 0, then L.H.S. = -13 $$\neq$$ R.H.S. = 0

=> It does not pass through origin

Ans - (A)