1)

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


A) $\frac{3}{2}$

B) $\frac{5}{2}$

C) $\frac{7}{2}$

D) $\frac{9}{2}$

Answer:

Option C

Explanation:

Given planes are

 2x+y+2z-8=0

 and 2x+y+2z+$\frac{5}{2}$=0

 Distance between two planes

   =  $\frac{|c_{1}-c_{2}|}{\sqrt{a^{2}+b^{2}+c^{2}}}=|\frac{-8-\frac{5}{2}}{\sqrt{2^{2}+1^{2}}+2^{2}}|$

    = $\frac{\frac{21}{2}}{3}=\frac{7}{2}$