Distance between two planes x + 2y – z = 5 and 2x + 4y – 2z + 2 = 0 is
Answer & explanation
Correct answer: option 1
$P_1 : x + 2y - z - 5 =0$
$P_2 : 2x + 4y - 2z + 2 = 0 ⇒ x+ 2y - z +1 = 0$
Both are parallel planes
So distance = $\left|\frac{C_2-C_1}{\sqrt{1^2+2^2+(-1)^2}}\right|=\left|\frac{1+5}{\sqrt{1+4+1}}\right|=\left|\frac{6}{\sqrt{6}}\right|$
$d = \sqrt{6}$ unit
Option: 1