Distance between two parallel planes, 2x + y + 2z = 8 and 4x + 2y + 4z + 5 = 0 is :

Engineering

Mathematics

Plane and Its Different Forms

Question

$\frac{3}{2}$

$\frac{5}{2}$

$\frac{9}{2}$

$\frac{7}{2}$

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P₁ = 2x + y + 2z – 8 = 0

P₂ = 2x + y + 2z + $\frac{5}{2}$ = 0

$d = | \frac{8 + \frac{5}{2}}{\sqrt{4 + 1 + 4}} | = \frac{21}{6} = \frac{7}{2}$

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