The distance between the parallel planes a x+b y+c z+d=0 and a x+b y+c z+d^ =0 is :

Mathematics · JEE Main · NTA Exams — Three Dimensional Geometry

1. \(\frac{\left|d+d^{\prime}\right|}{\sqrt{a^{2}+b^{2}+c^{2}}}\)
2. \(\frac{\left|d-d^{\prime}\right|}{\sqrt{a^{2}+b^{2}+c^{2}}}\)
3. \(\frac{d}{\sqrt{a^{2}+b^{2}+c^{2}}}\)
4. none of these

Answer

(B) |d-d^ | a^ 2 +b^ 2 +c^ 2

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