The distance of point P(3, 4, 5) from the yz-plane is
3 units
4 units
5 units
550
What is the length of foot of perpendicular drawn from the point P(3, 4, 5) on y-axis
\(\sqrt{41}\)
\(\sqrt{34}\)
5
none of these
Distance of the point (3, 4, 5) from the origin (0, 0, 0) is
\(\sqrt{50}\)
3
4
5
If the distance between the points \((a,0,1)\) and \((0,1,2)\) is \(\sqrt{27}\), then the value of \(a\) is
5
\(\pm 5\)
-5
none of these
\(x\)-axis is the intersection of two planes
xy and xz
yz and zx
xy and yz
none of these
Equation of y-axis is considered as
\(x = 0,\; y = 0\)
\(y = 0,\; z = 0\)
\(z = 0,\; x = 0\)
none of these
The point \((-2, -3, -4)\) lies in the
First octant
Seventh octant
Second octant
Eighth octant
A plane is parallel to yz-plane so it is perpendicular to :
x-axis
y-axis
z-axis
none of these
The locus of a point for which \(y = 0,\; z = 0\) is
equation of x-axis
equation of y-axis
equation of z-axis
none of these
The locus of a point for which \(x = 0\) is
xy-plane
yz-plane
zx-plane
none of these
If a parallelepiped is formed by planes drawn through the points \((5,8,10)\) and \((3,6,8)\) parallel to the coordinate planes, then the length of diagonal of the parallelepiped is
\(2\sqrt{3}\)
\(3\sqrt{2}\)
\(\sqrt{2}\)
\(\sqrt{3}\)
\(L\) is the foot of the perpendicular drawn from a point \(P(3,4,5)\) on the xy-plane. The coordinates of point \(L\) are
(3, 0, 0)
(0, 4, 5)
(3, 0, 5)
none of these
\(L\) is the foot of the perpendicular drawn from the point \((3,4,5)\) on x-axis. The coordinates of \(L\) are
(3, 0, 0)
(0, 4, 0)
(0, 0, 5)
none of these