If are the direction cosines of a normal to the plane 2x-3y+6z+4=0, then what is the value of 49(7l^2+m^2-n^2)?

NDA 2024 Mathematics question

If are the direction cosines of a normal to the plane , then what is the value of ?

Answer: (B)

The normal has direction ratios with , so $ =

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Question ID VK-029825