Consider three planes P 1 : x – y + z = 1 P 2 : x + y – z = –1 P 3 : x – 3 y + 3 z = 2 …
Mathematics · JEE Advanced · NTA Exams — Co-ordinate Geometry
Consider three planes
P1 : x – y + z = 1
P2 : x + y – z = –1
P3 : x – 3y + 3z = 2 .
Let L1, L2, L3 be the lines of intersection of the planes P2 and P3, P3 and P1 and P1 and P2, respectively.
Statement - 1 : At least two of the lines L1, L2 and L3 are non-parallel.
Statement - 2 : The three planes do not have a common point.
P1 : x – y + z = 1
P2 : x + y – z = –1
P3 : x – 3y + 3z = 2 .
Let L1, L2, L3 be the lines of intersection of the planes P2 and P3, P3 and P1 and P1 and P2, respectively.
Statement - 1 : At least two of the lines L1, L2 and L3 are non-parallel.
Statement - 2 : The three planes do not have a common point.
- Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation of Statement 1 .
- Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1 .
- Statement-1 is true, Statement-2 is false.
- Statement-1 is false, Statement-2 is true.
Answer
(A) Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation of Statement 1 .
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