TS EAMCET · Maths · Three Dimensional Geometry
If \(\frac{x-4}{1}=\frac{y-2}{1}=\frac{z-7}{2}\) lies in the plane \(a x+b y+z=7\), then \(a+b=\)
- A -2
- B 3
- C 5
- D 7
Answer & Solution
Correct Answer
(A) -2
Step-by-step Solution
Detailed explanation
Given that, line \(\frac{x-4}{1}=\frac{y-2}{1}=\frac{z-7}{2}\) Line is passing through point \(P(4,+2,7)\) and direction ratios \((1,1,2)\) and lies on the given plane \(a x+b y+z=7\) So, point will satisfy the equation of plane \(a(4)+b(+2)+(7)=7\) \(4 a+2 b=0\) \(\ldots(i)\)…
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