The cartesian equation of the plane is
2x + 3y - 4z = 1
2x - 3y + 4z = 1
2x + 3y - 4z = 0
2x - 3y + 4z = 0
The distance from p(2, 1, -1) to the plane x - 2y + 4z = 9 is
13/√21
-13/√21
9/√21
-9/√21
Find the equation of the plane passing through the points A(2, 2, -1), B(3, 4, 2) C(7, 0, 6)
5x + 2y - 3z = 17
2x + 5y - 3z = 17
2x - 5y - 3z = 17
2x - 5y + 3z = 17
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 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 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 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
The equation of the plane whose intercept on the co ordinate axes are -2, 3 and 4 is
6x - 4y - 3z + 12 = 0
6x + 4y - 3z + 12 = 0
6x - 4y + 3z + 12 = 0
6x - 4y - 3z - 12 = 0
Equation of a plane parallel to a given plane ax + by + cz + d = 0 is
bx + ay + cz + d = 0
bx - ay + cz + d = 0
ax + by + cz + k = 0
bx - ay + cz + k = 0
