Which of the following lines pass through origin?

The correct answer is: y = 5x

Hint:-
A line is said to be passing through a given point when the co-ordinates of that point satisfies the equation I.e. LHS = RHS.
Step-by-step solution:-
To check whether the given lines pass through origin (0,0) or not, we substitute x = 0 & y = 0 in all of the equations and check whether LHS = RHS or not.
a. y = x – 1
∴ 0 = 0 - 1
∴ 0 ≠ -1
∴ LHS ≠ RHS
b. x = 2
∴ 0 ≠ 2
∴ LHS ≠ RHS
c. y = 1
∴ 0 ≠ 1
∴ LHS ≠ RHS
d. y = 5x
∴ 0 = 5 (0)
∴ 0 = 0
∴ LHS = RHS
Since option d satisfies the required condition i.e. Point (0,0) satisfies the equation of line y = 5x, option d is the correct answer.
Final Answer:-
∴ Option d i.e. y = 5x is the correct answer.