TS EAMCET · Maths · Three Dimensional Geometry
If the line joining the points \(A(1,0,0)\) and \(B(0,0,1)\) is a normal to the plane \(\pi\) which passes through the point \(A\), then the angle between the planes \(\pi\) and \(x+y+z=6\) is
- A \(\frac{\pi}{6}\)
- B \(\frac{\pi}{4}\)
- C \(\frac{\pi}{3}\)
- D \(\frac{\pi}{2}\)
Answer & Solution
Correct Answer
(A) \(\frac{\pi}{6}\)
Step-by-step Solution
Detailed explanation
\( \text { Given points } A(1,0,0) \text { and } B(0,0,1) \) Direction ratios of the line joining points are \( \left(x_2-x_1\right),\left(y_2-y_1\right),\left(z_2-z_1\right) \) i.e. \((-1,1,1)\). So, \(a=-1, b=1\) and \(c=1\) \(\therefore\) Equation of plane…
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