Categories \(\Rightarrow\) Class IX Class X Class XI Mathematics Physics Chemistry Biology
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1.
What is the ordered triplet representing the coordinates of a point in three-dimensional space?
(Easy | NCERT)
2.
Which axis is perpendicular to both the \(x\)-axis and the \(y\)-axis?
(Easy | NCERT)
3.
The coordinates of the origin are:
(Easy | NCERT)
4.
A point lies on the \(x\)-axis if:
(Easy | NCERT)
5.
The point \((3,4,0)\) lies in:
(Easy | NCERT)
6.
Distance of \((a,b,c)\) from the \(xy\)-plane is:
(Easy | NCERT)
7.
Which point lies in the \(yz\)-plane?
(Easy | NCERT)
8.
Coordinates of a point on the \(z\)-axis are:
(Easy | NCERT)
9.
Number of coordinate planes in three-dimensional geometry is:
(Easy | NCERT)
10.
The plane containing the \(x\)- and \(z\)-axes is:
(Easy | NCERT)
11.
Distance of \((0,-3,5)\) from the \(z\)-axis is:
(Medium | NCERT)
12.
A point equally distant from all coordinate planes is:
(Medium | NCERT)
13.
Distance between \((0,0,0)\) and \((1,2,2)\) is:
(Medium | NCERT)
14.
If the distance of a point from the \(x\)-axis is zero, then:
(Medium | NCERT)
15.
Distance of \((2,-3,6)\) from the \(xz\)-plane is:
(Medium | NCERT)
16.
Which coordinates remain unchanged when a point moves parallel to the \(x\)-axis?
(Medium | NCERT)
17.
Locus of points with \(x=0\) is:
(Medium | NCERT)
18.
Distance of a point from the origin equals:
(Medium | NCERT)
19.
Coordinates of a point in the first octant are:
(Medium | NCERT)
20.
Reflection of \((2,-3,4)\) in the \(xy\)-plane is:
(Medium | NCERT)
21.
Distance of \((3,4,12)\) from the origin is:
(Hard | NCERT)
22.
Which point lies in the third octant?
(Hard | NCERT)
23.
Distance between \((1,2,3)\) and \((4,6,3)\) is:
(Hard | NCERT)
24.
A point equidistant from all three axes satisfies:
(Hard | NCERT)
25.
Distance of \((x,y,z)\) from the \(y\)-axis is:
(Hard | NCERT)
26.
A point in the \(xy\)-plane at distance 5 from the origin is:
(Hard | NCERT)
27.
If \(a=b=c\), the point \((a,b,c)\) lies on:
(Hard | NCERT)
28.
Distance between \((2,-1,3)\) and \((2,-1,-3)\) is:
(Hard | NCERT)
29.
Nearest point to the origin is:
(Hard | NCERT)
30.
Distance from the origin remains unchanged under:
(Hard | NCERT)
31.
Distance of \((a,b,c)\) from the \(x\)-axis is:
(Hard | NCERT)
32.
Point \((0,0,5)\) lies on:
(Easy | NCERT)
33.
Distance of \((4,0,0)\) from the \(yz\)-plane is:
(Easy | NCERT)
34.
A point with coordinates \((0,5,0)\) lies on:
(Easy | NCERT)
35.
The octant containing \((-2,3,-4)\) is:
(Medium | NCERT)
36.
Distance between \((1,1,1)\) and \((-1,-1,-1)\) is:
(Medium | NCERT)
37.
A point lies on the \(xy\)-plane if:
(Easy | NCERT)
38.
Distance of \((0,7,-24)\) from the \(y\)-axis is:
(Medium | NCERT)
39.
A point equidistant from all three coordinate planes lies on:
(Medium | NCERT)
40.
Coordinates of a point on the \(xz\)-plane are:
(Easy | NCERT)
41.
Distance between \((2,3,4)\) and \((2,3,4)\) is:
(Easy | NCERT)
42.
A point at equal distance from the three axes satisfies:
(Hard | NCERT)
43.
The distance of the origin from any coordinate plane is:
(Easy | NCERT)
44.
A point \((a,0,0)\) is at distance \(|a|\) from:
(Medium | NCERT)
45.
Distance between \((0,3,4)\) and the origin is:
(Medium | NCERT)
46.
Coordinates of a point common to both \(xy\)- and \(yz\)-planes are:
(Medium | NCERT)
47.
Distance of \((5,-12,0)\) from the origin is:
(Medium | NCERT)
48.
The plane \(y=0\) represents:
(Easy | NCERT)
49.
A point \((x,y,z)\) lies on the space diagonal if:
(Hard | NCERT)
50.
The distance formula in three dimensions is based on:
(Hard | NCERT)

Frequently Asked Questions

Three Dimensional Geometry studies the position of points in space using three mutually perpendicular axes.

It involves three independent measurements represented by \(x\), \(y\), and \(z\).

It is a reference framework consisting of three perpendicular axes intersecting at a common point.

The axes are the \(x\)-axis, \(y\)-axis, and \(z\)-axis.

The origin is the point where all three axes intersect and has coordinates \((0,0,0)\).

An ordered triplet \((x,y,z)\) represents the coordinates of a point in three dimensional space.

It represents the perpendicular distance of the point from the \(yz\)-plane.

It represents the perpendicular distance of the point from the \(xz\)-plane.

It represents the perpendicular distance of the point from the \(xy\)-plane.

The three coordinate planes are the \(xy\)-plane, \(yz\)-plane, and \(zx\)-plane.

The equation of the \(xy\)-plane is \(z = 0\).

The equation of the \(yz\)-plane is \(x = 0\).

The equation of the \(zx\)-plane is \(y = 0\).

The distance is \(\sqrt{(x_2-x_1)^2+(y_2-y_1)^2+(z_2-z_1)^2}\).

It is derived using the Pythagorean theorem extended to three dimensions.

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