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  • Quantitative Aptitude Practice Geometry Study Material

Digitization help student to explore and study their academic courses online, as this gives them flexibility and scheduling their learning at their convenience. Kidsfront has prepared unique course material of Geometry Three Dimensional Geometry for Quantitative Aptitude Practice student. This free online Geometry study material for Quantitative Aptitude Practice will help students in learning and doing practice on Three Dimensional Geometry topic of Quantitative Aptitude Practice Geometry. The study material on Three Dimensional Geometry, help Quantitative Aptitude Practice Geometry students to learn every aspect of Three Dimensional Geometry and prepare themselves for exams by doing online test exercise for Three Dimensional Geometry, as their study progresses in class. Kidsfront provide unique pattern of learning Geometry with free online comprehensive study material and loads of Quantitative Aptitude Practice Geometry Three Dimensional Geometry exercise prepared by the highly professionals team. Students can understand Three Dimensional Geometry concept easily and consolidate their learning by doing practice test on Three Dimensional Geometry regularly till they excel in Geometry Three Dimensional Geometry.


Three Dimensional Geometry
Which of the following set of points are non-collinear?

a) (1, -1, 1), (-1, 1, 1), (0, 0, 1)
b) (1, 2, 3), (3, 2, 1), (2, 2, 2)
c) (-2, 4, -3), (4, -3, -2), (-3, -2, 4)
d) (2, 0, -1), (3, 2, -2), (5, 6, -4)



Answer
Correct Answer Is : (-2, 4, -3), (4, -3, -2), (-3, -2, 4)
Solution Is :
If O is the origin and OP = 3 with direction ratios -1, 2, -2, then co-ordinates of P are?

a) (1, 2, 2)
b) (-1, 2, -2)
c) (-3, 6, -9)
d) (-1/3, 2/3, -2/3)



Answer
Correct Answer Is : (-1, 2, -2)
Solution Is :
If 1/2, 1/3, n are direction cosines of a line, then the value of n is?

a) √(23)/6
b) 23/6
c) 2? 3
d) 1? 6



Answer
Correct Answer Is : √(23)/6
Solution Is :
If the co-ordinates of A and B be (1, 2, 3) and (7, 8, 7), then the projections of the line segment AB on the co-ordinate axes are?

a) 4, 6, 4
b) 3, 3, 2
c) 6, 6, 4
d) 2, 3, 2



Answer
Correct Answer Is : 6, 6, 4
Solution Is :
The projection of the line joining the points (3, 4, 5) and (4, 6, 3) on the line joining the points (-1, 2, 4) and (1, 0, 5), is?

a) 4/3
b) 2? 3
c) 1? 3
d) 1? 2



Answer
Correct Answer Is : 4/3
Solution Is :
The straight line (x - 3)/3 = (y - 2)/1 = (z - 1)/0 is?

a) Parallel to X-axis
b) Parallel to Y-axis
c) Parallel to Z-axis
d) Perpendicular to Z-axis



Answer
Correct Answer Is : Perpendicular to Z-axis
Solution Is :
The equation of the line passing through the points (3, 2, 4) and (4, 5, 2) is?

a) (x + 3)/1 = (y + 2)/3 = (z + 4)/-2
b) (x - 3)/1 = (y - 2)/3 = (z - 4)/-2
c) (x + 3)/7 = (y + 2)/7 = (z + 4)/6
d) (x - 3)/7 = (y - 2)/7 = (z - 4)/6



Answer
Correct Answer Is : (x - 3)/1 = (y - 2)/3 = (z - 4)/-2
Solution Is :
If (x - 1)/l = (y - 2)/m = (z + 1)/n is the equation of the line through (1, 2, -1) and (-1, 0, 1), then (l, m, n) is?

a) (-1, 0, 1)
b) (1, 2, -1)
c) (1, 1, -1)
d) (0, 1, 0)



Answer
Correct Answer Is : (1, 1, -1)
Solution Is :
The line joining the points (-2, 1, -8) and (a, b, c) is parallel to the line whose direction ratios are 6, 2, 3. The value of a, b, c are?

a) 4, 3, -5
b) 1, 2, -13/2
c) 10, 5, -2
d) 4, 6, -5



Answer
Correct Answer Is : 4, 3, -5
Solution Is :
The perpendicular distance of the point (2, 4, -1) from the line (x + 5)/1 = (y + 3)/4 = (z - 6)/-9 is?

a) 9
b) 3
c) 5
d) 7



Answer
Correct Answer Is : 7
Solution Is :
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