JEE Mains · Maths · STD 12 - 11. three dimension geometry
A plane passing through the points \((0, -1, 0)\) and \((0, 0, 1)\) and making an angle \(\frac {\pi }{4}\) with plane \(y -z + 5 = 0,\) also passes through the point
- A \((\sqrt 2,1,4)\)
- B \((-\sqrt 2,-1,-4)\)
- C \((-\sqrt 2,1,-4)\)
- D \((\sqrt 2,-1,4)\)
Answer & Solution
Correct Answer
(A) \((\sqrt 2,1,4)\)
Step-by-step Solution
Detailed explanation
Let \(a x+b y+c z=1\) be the equation of the plane \(\Rightarrow 0-b+0=1\) \(\Rightarrow b=-1\) \(0+0+c=1\) \(\Rightarrow c=1\) \(\cos \theta=\left|\frac{\vec{a} \vec{b}}{|\vec{a}||\vec{b}|}\right|\)…
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