The condition for the planes a1x + b1y + c1z + d1 = 0 and a2 x + b2 y + c2z + d2 = 0 are parallel is
a1a2 + b1b2 + c1c2 = 0
a1a2 + b1b2 + c1c2 = 1
a1/a2 = b1/b2 = c1/c2
a1/a2 = b1/b2
The angle between the planes 2x - y + 2z = 3 and 3x + 6y + 2z = 4 is
cos-1 5/21
cos-1 4/21
cos-1 3/21
cos-1 2/21
The foot of perpendicular drawn from the origin to the plane is (2, 3, 4). Find the equation of the plane
2x - 3y - 4z - 29 = 0
2x - 3y + 4z + 29 = 0
2x + 3y - 4z - 29 = 0
2x + 3y + 4z - 29 = 0
The equation of the plane through (0, 1, -2) parallel to the plane 2x - 3y + 4z = 0. is
3x - 2y - 4z = 0
3x - 2y + 4z = 0
2x - 3y + 4z = -11
2x - 3y + 4z = 0
The intercepts of the 2x - 3y + 4z = 12 on the coordinate axes are
2, -3, 4
-2, 3, -4
-6, 4, -3
6, -4, 3
The equation of any plane is of __________ degree in x, y and z
First
Second
Third
Zero
The direction cosines of the perpendicular from the origin to the plane are
2, -3, -6
-2, 3, 6
-2/7, 3/7,6/7
2/7, -3/7, -6/7
If from a point p(a, b, c) perpendicular PA, PB are drawn to yz and zx plane, then the equation of the plane oAB is
bcx = cay + abz = 0
bcx + cay - abz = 0
bcx - cay + abz = 0
-bcx + cay + abz = 0
The distance from p(2, 1, -1) to the plane x - 2y + 4z = 9 is
13/√21
-13/√21
9/√21
-9/√21
The vector equation of a plane at a distance 6 units from the origin and has as the unit vector normal to it is
