The equation of plane passing through (1,0,0) and (0,1,0) and making an angle 45^0 with the plane x+y-3=0 is

MHT CET 2025 Mathematics question

The equation of plane passing through and and making an angle with the plane is

Answer: (A)

Let the plane be . Through : ; through : . So the plane is with normal . The normal of is . For the angle :

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Question ID VK-103320