Question:
Which of the following represents the equation of a straight line passing through origin?
Which of the following represents the equation of a straight line passing through origin?
Show Hint
Line passes through origin $\Rightarrow$ no constant term in equation.
Updated On: May 13, 2026
- $2x - 3y = 0$
- $5x - 4 = 0$
- $2y - 13 = 0$
- $x + 2y + 9 = 0$
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The Correct Option is A
Solution and Explanation
Concept:
A straight line passes through the origin if it satisfies the condition:
\[
\text{When } x = 0, \ y = 0 \text{ satisfies the equation}
\]
or equivalently, the equation is of the form:
\[
ax + by = 0
\]
Step 1: Check each option.
• $2x - 3y = 0$ → passes through origin (correct)
• $5x - 4 = 0$ → does not pass through origin
• $2y - 13 = 0$ → does not pass through origin
• $x + 2y + 9 = 0$ → does not pass through origin
Step 2: Final conclusion.
Thus, the correct equation is: \[ $2x - 3y = 0$ \]
Step 1: Check each option.
• $2x - 3y = 0$ → passes through origin (correct)
• $5x - 4 = 0$ → does not pass through origin
• $2y - 13 = 0$ → does not pass through origin
• $x + 2y + 9 = 0$ → does not pass through origin
Step 2: Final conclusion.
Thus, the correct equation is: \[ $2x - 3y = 0$ \]
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