CBSE Class 11 Mathematics Chapter 12 Introduction to Three Dimensional Geometry Multiple Choice Questions with Answers. MCQ Class 11 Mathematics Introduction to Three Dimensional Geometry with Answers was Prepared Based on Latest Exam Pattern. Students can solve NCERT Class 11 Mathematics Introduction to Three Dimensional Geometry MCQs with Answers to know their preparation level.
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MCQ Class 11 Mathematics Introduction to Three Dimensional Geometry with Answers - Set - 4
Question 1:
The points (5, 2, 4), (6, –1, 2) and (8, –7, k) are collinear if k is equal to
(a) –2
(b) 2
(c) 3
(d) –1
Correct Answer – (A)
Question 2 :
The ratio in which the join of points (1, –2, 3) and (4, 2, –1) is divided by XOY plane is
(a) 1 : 3
(b) 3 : 1
(c) –1 : 3
(d) None of these
Correct Answer – (B)
Question 3 :
What are coordinates of the point equidistant from the points (a, 0, 0), (0, a, 0), (0, 0, a) and (0, 0, 0) ?
(a) (a/3 , a/3 , a/3)
(b) (a/2 , a/2 , a/2)
(c) (a, a, a)
(d) (2a, 2a, 2a)
Correct Answer – (B)
Question 4 :
The point equidistant from the four points (0,0, 0), (3/2, 0, 0), (0,5/2, 0) and (0, 0, 7/2) is:
(a) (2/3 , 1/3 , 2/5)
(b) (3, 2, 3/5)
(c) (3/4 , 5/4 , 7/4)
(d) (1/2,0, -1)
Correct Answer – (C)
Question 5 :
What is the perpendicular distance of the point P(6, 7, 8) from xy-plane?
(a) 8
(b) 7
(c) 6
(d) none of thes
Correct Answer – (A)
MCQ Class 11 Mathematics Introduction to Three Dimensional Geometry with Answers
Question 6 :
L is the foot of the perpendicular drawn from a point (6, 7, 8) on x-axis. The coordinates of L are
(a) (6, 0, 0)
(b) (0, 7, 0)
(c) (0, 0, 8)
(d) none of these
Correct Answer – (A)
Question 7 :
The equation of locus of a point whose distance from the y-axis is equal to its distance from the point (2, 1, –1) is
(a) x2 + y2 + z2 = 6
(b) x2 – 4x + 2z + 6 = 0
(c) y2 – 2y – 4x + 2z + 6 = 0
(d) x2 + y2 – z2 = 0
Correct Answer – (C)
Question 8 :
What is the shortest distance of the point (1, 2, 3) from x- axis ?
(a) 1
(b) √6
(c) √13
(d) √14
Correct Answer – (C)
Question 9 :
What is the locus of a point which is equidistant from the points (1, 2, 3) and (3, 2, – 1) ?
(a) x + z = 0
(b) x – 3z = 0
(c) x – z = 0
(d) x – 2z = 0
Correct Answer – (D)
Question 10 :
If the sum of the squares of the distance of the point ( x, y, z) from the points ( a, 0, 0) and ( –a , 0, 0) is 2c2, then which one of the following is correct?
(a) x2 + a2 = 2c2 – y2 – z2
(b) x2 + a2 = c2 – y2 – z2
(c) x2 – a2 = c2 – y2 – z2
(d) x2 + a2 = c2 + y2 + z2
Correct Answer – (B)
- NCERT Solutions Class 11 Mathematics Introduction to Three Dimensional Geometry with Answers : Exercise 12.1
- NCERT Solutions Class 11 Mathematics Introduction to Three Dimensional Geometry with Answers : Exercise 12.2
- NCERT Solutions Class 11 Mathematics Introduction to Three Dimensional Geometry with Answers : Exercise 12.3
- NCERT Solutions Class 11 Mathematics Introduction to Three Dimensional Geometry with Answers : Exercise 12 Misc
- NCERT Solutions Class 11 Mathematics Textbook download