NCERT Solutions for class 12 Maths | Chapter 12 - Introduction to Three Dimensional Geometry

Questions
1 L is the foot of the perpendicular drawn from a point (3, 4, 5) on x-axis. The coordinates of L are
A (3,0,0)
B (0,4,0)
C (0, 0, 5)
D none of these

Answer:(3,0,0)
2 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
A (3,0,0)
B (0,4,5)
C (3, 0, 5)
D none of these

Answer:none of these
3 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
A 2√3
B 3√
C √2
D √3

Answer:2√3
4 The locus of a point for which x = 0 is
A xy-plane
B yz-plane
C zx-plane
D None of these

Answer:yz-plane
5 The locus of a point for which y = 0, z = 0 is
A equation of x-axis
B equation of y-axis
C equation at z-axis
D none of these

Answer:equation of x-axis
6 A plane is parallel to yz-plane so it is perpendicular to
A x-axis
B y-axis
C z-axis
D none of these

Answer:x-axis
7 The point (-2, -3, -4) lies in the
A First octant
B Seventh octant
C Second octant
D Eighth octant

Answer:Seventh octant
8 Equation of Y-axis is considered as
A x = 0, y = 0
B y = 0, z = 0
C z = 0, x = 0
D none of these

Answer:z = 0, x = 0
9 x-axis is the intersection of two planes
A xy and xz
B yz and zx
C xy and yz
D none of these

Answer:xy and xz
10 If the distance between the points (a,0,1) and (0,1,2) is √27, then the value of a is
A 5
B ± 5
C -5
D none of these

Answer:± 5
11 Distance of the point (3,4, 5) from the origin (0, 0, 0) is
A √50
B 3
C 4
D 5

Answer:√50
12 What is the length of foot of perpendicular drawn from the point P(3,4, 5) on y-axis?
A √41
B √34
C 5
D None of these

Answer:√34
13 The distance of point P(3,4, 5) from the yz-plane is
A 3 units
B 4 units
C 5 units
D 550

Answer:3 units
14 L is the foot of the perpendicular drawn from a point (3, 4, 5) on xaxis. The coordinates of L are
A (3,0,0)
B (0,4,0)
C (0, 0, 5)
D none of these

Answer:(3,0,0)
15 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
A (3,0,0)
B (0,4,5)
C (3, 0, 5)
D none of these

Answer: none of these
16 The locus of a point for which x = 0 is
A xy-plane
B yz-plane
C zx-plane
D none of these

Answer:yz-plane
17 The locus of a point for which y = 0, z = 0 is
A equation of x-axis
B equation of y-axis
C equation at z-axis
D none of these

Answer:equation of x-axis
18 A plane is parallel to yz-plane so it is perpendicular to
A x-axis
B y-axis
C z-axis
D none of these

Answer:x-axis
19 The point (-2, -3, -4) lies in the
A First octant
B Seventh octant
C Second octant
D Eighth octant

Answer:Seventh octant
20 Equation of Y-axis is considered as
A x = 0, y = 0
B y = 0, z = 0
C z = 0, x = 0
D none of these

Answer:z = 0, x = 0

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