MHT CET 2024 Mathematics question
A plane which is perpendicular to two planes 2x – 2y + z = 0 and x – y + 2z = 4, passes through (1,-2,1). The distance of the plane from the point (1,2,2) is
Answer: (D)
Solution
The required plane's normal is perpendicular to both normals and , so it is along . The plane through : $1(x-1)+1(y+2)+0(z-1)=0⇒
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