Question
Question: The equation of the plane through the origin containing the line \(\frac{x - 1}{5} = \frac{y - 2}{4}...
The equation of the plane through the origin containing the line 5x−1=4y−2=5z−3 is
A
2x+5y−6z=0
B
x+5y−5z=0
C
x−5y+3z=0
D
x+y−z=0
Answer
x−5y+3z=0
Explanation
Solution
Trick: A general point (5r+1,4r+2,5r+3) on the line should satisfy the required plane, which is satisfied by x−5y+3z=0