Q14 of 76 Page 493

In the following cases, find the distance of each of the given points from the corresponding given plane.

Point Plane


(0, 0, 0) 3x – 4y + 12 z = 3

Distance of point P(x1,y1,z1) from the plane Ax + By + Cz – D = 0 is


Given point is (0,0,0) and the plane is 3x – 4y + 12z = 3





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13

In the following cases, determine whether the given planes are parallel or perpendicular, and in case they are neither, find the angles between them.

2x – 2y + 4z + 5 = 0 and 3x – 3y + 6z – 1 = 0

 13

In the following cases, determine whether the given planes are parallel or perpendicular, and in case they are neither, find the angles between them.

4x + 8y + z – 8 = 0 and y + z – 4 = 0

 14

In the following cases, find the distance of each of the given points from the corresponding given plane.

Point Plane


(3, – 2, 1) 2x – y + 2z + 3 = 0

 14

In the following cases, find the distance of each of the given points from the corresponding given plane.

Point Plane


(2, 3, – 5) x + 2y – 2z = 9