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Question

Question: Let A (0, 0, 1), B(0, 1, 0) and C(1, 1, 1) are the points in a plane, then the equation of the plane...

Let A (0, 0, 1), B(0, 1, 0) and C(1, 1, 1) are the points in a plane, then the equation of the plane perpendicular to plane ABC and passing through A and B is

A

– x + y + z + 1 = 0

B

x – y – z – 1 = 0

C

– x + y + z – 1 = 0

D

None of these

Answer

None of these

Explanation

Solution

Let P be the variable point on the required plane

Ž AP,AB,(AB×BC)\overrightarrow { \mathrm { AP } } , \overrightarrow { \mathrm { AB } } , ( \overrightarrow { \mathrm { AB } } \times \overrightarrow { \mathrm { BC } } ) are coplanar