Consider the following statements :
1. The angle between the planes
`2x-y+z=1 and x+y+2z=3" is " pi/3`.
2. The distance between the planes
`6x-3y+6z=0 and 2x-y+2z+4=0" is " 10/9`
Which of the above statements is/are correct

Options

A. 1 only
B. 2 only
C. Both and 2
D. Neither 1 nor 2

Answer

C

Explanation

Angle between planes
`=cos^(-1)((2-1+2)/6)`
`=cos^(-1)(1/2)=pi/3`
Distance between planes
`(abs(2/3-4))/sqrt9=10/(3xx3)=10/9`