Three Dimensional Geometry Question 101
Question: The value of k such that $ \frac{x-4}{1}=\frac{y-2}{1}=\frac{z-k}{2} $ lies in the plane $ 2x-4y+z=7 $ , is
[IIT Screening 2003]
Options:
A) 7
B) - 7
C) No real value
D) 4
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Answer:
Correct Answer: A
Solution:
Point (4, 2, k) should lie in the given plane
Þ $ 2(4)-4(2)+1(k)=7\Rightarrow k=7. $
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