Question:
The line which passes through the origin and intersects the two lines
\[
\frac{x - 1}{2} = \frac{y - 3}{4} = \frac{z - 14}{4}
\]
is
The line which passes through the origin and intersects the two lines
\[
\frac{x - 1}{2} = \frac{y - 3}{4} = \frac{z - 14}{4}
\]
is
Show Hint
To find the equation of a line passing through the origin, express the direction ratios of the line in the required format.
Updated On: Jan 12, 2026
- \( \frac{x}{3} = \frac{y}{5} = \frac{z}{5} \)
- \( \frac{x}{3} = \frac{y}{5} = \frac{z}{7} \)
- \( \frac{x}{3} = \frac{y}{2} = \frac{z}{5} \)
- \( \frac{x}{5} = \frac{y}{7} = \frac{z}{5} \)
Show Solution
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The Correct Option is C
Solution and Explanation
To find the equation of the line passing through the origin and intersecting the given lines, use the concept of direction ratios and solve the system of equations by cross-multiplying the ratios.
Final Answer: \[ \boxed{\frac{x}{3} = \frac{y}{2} = \frac{z}{5}} \]
Final Answer: \[ \boxed{\frac{x}{3} = \frac{y}{2} = \frac{z}{5}} \]
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