Q11 of 181 Page 1217

Find the equation of the plane passing through the point (1, -2, 7) and parallel to the plane 5x + 4y - 11z = 6.

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 the equation of a plane



As the plane is passing through (1,-2,7), it must satisfy the plane,


(1)




Putting value in equation (1), we have



5x + 4y-11z + 80=0


So, the required equation of the plane is 5x + 4y-11z + 80=0.


More from this chapter

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9

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

 10

Find the equation of the plane passing through the point (a, b, c) and parallel to the plane

12

Find the equation of the plane passing through the point A(-1, -1, 2) and perpendicular to each of the planes 3x + 2y - 3z = 1 and 5x – 4y + z = 5.

 13

Find the equation of the plane passing through the origin and perpendicular to each of the planes x + 2y - z = 1 and 3x - 4y + z = 5.