# Ques. -12

**Geometry**Level 4

**Statement -1:** The plane \(5x+2z-8=0\) contains the line \(\left( 2x-y+z-3=0 \ and \ 3x+y+z=5 \right)\) and is perpendicular to \(2x-y-5z-3=0\).

**Statement-2:** The plane \(3x+y+z=5\) meets the line \(x-1=y+1=z-1\) at the point \((1,1,1)\).

Which of the following options is true ?

a). Statement-1 is true, Statement-2 is true. And statement-2 is a correct explanation of statement-1.

b). Statement-1 is true, Statement-2 is true. But Statement-2 is not correct explanation of statement-1.

c). Statement-1 is true, Statement-2 is false.

d). Statement-1 is false, Statement-2 is true.