Question:
Through which point does the line \(\dfrac{x-100}{101}=\dfrac{y-99}{102}=\dfrac{z-98}{103}\) pass?
Through which point does the line \(\dfrac{x-100}{101}=\dfrac{y-99}{102}=\dfrac{z-98}{103}\) pass?
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The "\(-x_0,-y_0,-z_0\)" numerators reveal the point \((x_0,y_0,z_0)\) on the line.
Updated On: Oct 17, 2025
- \((101,102,103)\)
- \((98,99,100)\)
- \((100,99,98)\)
- \((99,100,101)\)
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The Correct Option is C
Solution and Explanation
Set parameter \(t=0\) in \(x=100+101t,\ y=99+102t,\ z=98+103t\).
This gives the point \((100,99,98)\) on the line.
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