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 - 2
Question 1:
The coordinates of the point where the line through (3, – 4, – 5) and (2, –3, 1) crosses the plane passing through three points (2, 2, 1), (3, 0, 1) and (4, – 1, 0) are
(a) (0, – 2, 7)
(b) (3, – 2, 5)
(c) (1, – 2, – 7)
(d) (1, – 2, 7)
Correct Answer – (D)
Question 2:
The sine of the angle between the straight line x-2/3 = y-3/4 =z-4/5 and the plane 2x – 2y + z = 5 is
(a) 10/√65
(b) 4/5√2
(c) 2√3/5
(d) √2/10
Correct Answer – (D)
Question 3:
The two planes x – 2y + 4z = 10 and 18x + 17y + kz = 50 are perpendicular, if k is equal to
(a) –4
(b) 4
(c) 2
(d) – 2
Correct Answer – (B)
Question 4:
A line makes equal angles with co-ordinate axis. Direction cosines of this line are
(a) ± (1, 1, 1)
(b) ± (1/√3, 1/√3, 1/√3)
(c) ± (1/3, 1/3, 1/3)
(d) ± (1/√3,-1/√3,-1/√3)
Correct Answer – (B)
Question 5:
The distance of a point P (a, b, c) from x-axis is
(a) √(a2 + c2)
(b) √(a2 + b2)
(c) √(b2 + c2)
(d) √(b2 – c2)
Correct Answer – (C)
MCQ Questions Class 12 Three Dimensional Geometry With Answers
Question 6:
The image of the point (1, 6, 3) in the line x/1 = y-1/2 = z-2/2 is
(a) (2, 0, 5)
(b) (1, 3, 4)
(c) (1, 0, 7)
(d) (– 3, – 2, 0 )
Correct Answer – (C)
Question 7:
P is the 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 8:
P is the 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 9:
The equations of x-axis in space are
(a) x = 0, y = 0
(b) x = 0, z = 0
(c) x = 0
(d) y = 0, z = 0
Correct Answer – (D)
Question 10:
If a, b, c are the angles that a line makes with the positive direction of x, y, z axis, respectively, then the direction cosines of the line are
(a) sin α, sin β, sin γ
(b) cos α, cos β, cos γ
(c) tan α, tan β, tan γ
(d) cos2 α, cos2 β, cos2 γ
Correct Answer – (B)
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