Q9 of 181 Page 1217

Write the equation of the plane passing through the origin and parallel to the plane 5x - 3y + 7z + 11 = 0.

Let the equation of plane be


Direction ratios of parallel planes are related to each other as



Putting the values from the equation of a given parallel plane,




Putting in equation plane



As the plane is passing through (0,0,0), it must satisfy the plane,




5kx-3ky + 7kz=0


5x-3y + 7z=0


So, required equation of plane is 5x-3y + 7z=0.


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