Ques. -12

Geometry Level 4

Consider the intersection of two planes \(P_1\) and \(P_2\) is \(P_1+\lambda P_2=0\).

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.


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