CBSE Class 12 Three Dimensional Geometry Multiple Choice Questions with Answers. MCQ Questions Class 12 Three Dimensional Geometry with Answers Is Prepared Based on Latest Exam Pattern. Students can solve NCERT MCQ questions Class 12 Three Dimensional Geometry with Answers to know their preparation level.
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MCQ Questions Class 12 Three Dimensional Geometry with Answers - Set - 1
Question 1:
The co-ordinates of the foot of perpendicular drawn from point A(1, 8, 4) to the line joining the points B(0, –1, 3) and C(2, –3, –1) are
(a) (-7/3, 2/3, 11/3)
(b) (-5/3, 2/3, 19/3)
(c) (4/3, 2/3, 11/3)
(d) None of these
Correct Answer – (B)
Question 2:
The reflection of the point (α, β, γ) in the xy-plane is
(a) (α, β, 0)
(b) (0, 0, c)
(c) (–α, –b, c)
(d) (α, b, –c)
Correct Answer – (D)
Question 3:
The distance of the plane r .(2/7î +3/7ĵ -6/7k̂)= 1 from the origin is
(a) 1
(b) 7
(c) 1/7
(d) none of these
Correct Answer – (A)
Question 4:
The intercepts made by the plane 2x –3y + 5z + 4 = 0 on the coordinate axes are
(a) – 2, 4/3 and -4/5
(b) – 2, –4/3 and 4/5
(c) 4/3 ,-4/3 and 7/3
(d) – 2, –4/3 and -4/5
Correct Answer – (A)
Question 5:
The shortest distance between the lines given by
r = (8 + 3λ) it – (9 + 16λ) jt + (10 + 7λ)kt and r = 15î + 29ĵ + 5k̂+ n(3î + 8ĵ – 5k̂) is
(a) 7 units
(b) 2 units
(c) 14 units
(d) 3 units
Correct Answer – (C)
MCQ Questions Class 12 Three Dimensional Geometry With Answers
Question 6:
P is a point on the line segment joining the points (3, 2, –1) and (6, 2, –2). If x co-ordinate of P is 5, then its y co-ordinate is
(a) 2
(b) 1
(c) –1
(d) –2
Correct Answer – (A)
Question 7:
The area of the quadrilateral ABCD where A (0, 4, 1), B (2, 3, –1), C (4, 5, 0) and D (2, 6, 2) is equal to
(a) 9 sq units
(b) 18 sq units
(c) 27 sq units
(d) 81 sq units
Correct Answer – (A)
Question 8:
If the direction cosines of a line are k, k, k then
(a) k > 0
(b) 0 < k < 1
(c) k = 1
(d) k = 1/√3or –1/√3
Correct Answer – (D)
Question 9:
Distance of the point (a, b, c) from y-axis is
(a) b
(b) b
(c) b + c
(d) a2 + c2
Correct Answer – (D)
Question 10:
The co-ordinates of the foot of the perpendicular drawn from the point (2, –3, 4) on the y-axis is
(a) (2, 3, 4)
(b) (– 2, – 3, – 4)
(c) (0, –3, 0)
(d) (2, 0, 4)
Correct Answer – (C)
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