JEE Mains · Maths · STD 12 - 11. three dimension geometry
Let the mirror image of the point \((1,3, a)\) with respect to the plane \(\overrightarrow{ r }\). \((2 \hat{ i }-\hat{ j }+\hat{ k })- b =0\) be \((-3,5,2) .\) Then the value of \(| a + b |\) is equal to ...... .
- A \(0\)
- B \(1\)
- C \(2\)
- D \(3\)
Answer & Solution
Correct Answer
(B) \(1\)
Step-by-step Solution
Detailed explanation
plane \(=2 x-y+z=b\) \(R \equiv\left(-1,4, \frac{a+2}{2}\right) \rightarrow\) on plane \(\therefore-2-4+\frac{a+2}{2}=b\) \(\Rightarrow a+2=2 b+12 \Rightarrow a=2 b+10 \ldots(i)\) \( < P Q > = < 4,-2, a-2 > \) \(\therefore \frac{2}{4}=\frac{-1}{-2}=\frac{1}{a-2}\)…
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