Introduction to 3DHard
Question
An equation of a plane parallel to the plane x-2y + 2z - 5 = 0 and at a unit distance fromthe origin is :
Options
A.x - 2y + 2z + 5 = 0
B.x - 2y + 2z - 3 = 0
C.x - 2y + 2z + 1 = 0
D.x - 2y + 2z - 1 = 0
Solution
Equation of plane parallel to
x - 2y + 2z - 5 = 0
is x - 2y + 2z = k
or

⇒
∴ Equation of required plane is
x - 2y + 2z
x - 2y + 2z - 5 = 0
is x - 2y + 2z = k
or


⇒

∴ Equation of required plane is
x - 2y + 2z

Create a free account to view solution
View Solution FreeMore Introduction to 3D Questions
If the line through the points (4, 1, 2) and (5, l, 0) is parallel to the line through the points (2, 1, 1) and (3, 3, &...Points (1, 2, 3); (3, 5, 7) and (−1, −1, −1) are-...Let 6x + 4y - 5z = 4, x - 5y + 2z = 12 and be two lines then -...Equations of the line through (1, 2, 3) and parallel to the plane 2x + 3y + z + 5 = 0 are...The plane ax + by + cz = 1 meets the co-ordinate axes in A, B and C. The centroid of the triangle is -...