Ques. -12

Geometry Level 4

Consider the intersection of two planes P1P_1 and P2P_2 is P1+λP2=0P_1+\lambda P_2=0.

Statement -1: The plane 5x+2z8=05x+2z-8=0 contains the line (2xy+z3=0 and 3x+y+z=5)\left( 2x-y+z-3=0 \ and \ 3x+y+z=5 \right) and is perpendicular to 2xy5z3=02x-y-5z-3=0.

Statement-2: The plane 3x+y+z=53x+y+z=5 meets the line x1=y+1=z1x-1=y+1=z-1 at the point (1,1,1)(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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