GkSeries.com

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

(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

DOWNLOAD CURRENT AFFAIRS PDF FROM APP

(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

Please share this page

Chapters

Click Here to Read more questions

Teacher Eligibility Test