Learn Maths Three Dimensional Geometry, Class 12 Maths Three Dimensional Geometry Exercise, Free Online Three Dimensional Geometry Lessons

Class 12 Maths Study Material

An Educational platform for Preparation and Practice Class 12. Kidsfront provide unique pattern of learning Maths with free online comprehensive study material in the form of QUESTION & ANSWER for each Chapter of Maths for Class 12. This study material help Class 12, Maths students in learning every aspect of Three Dimensional Geometry. Students can understand Three Dimensional Geometry concept easily and consolidate their learning by doing Online Practice Tests on Maths,Three Dimensional Geometry chapter repeatedly till they excel in Class 12, Three Dimensional Geometry. Free ONLINE PRACTICE TESTS on Class 12, Three Dimensional Geometry comprise of Hundreds of Questions on Three Dimensional Geometry, prepared by the highly professionals team. Every repeat test of Three Dimensional Geometry will have new set of questions and help students to prepare themselves for exams by doing unlimited Online Test exercise on Three Dimensional Geometry. Attempt ONLINE TEST on Class 12,Maths,Three Dimensional Geometry in Academics section after completing this Three Dimensional Geometry Question Answer Exercise.

Unique pattern

Topic wise:Three Dimensional Geometry preparation in the form of QUESTION & ANSWER.
Evaluate preparation by doing ONLINE TEST of Class 12, Maths,Three Dimensional Geometry.
Review performance in PRACTICE TEST and do further learning on weak areas.
Attempt repeat ONLINE TESTS of Maths Three Dimensional Geometry till you excel.
Evaluate your progress by doing ONLINE MOCK TEST of Class 12, Maths, All TOPICS.

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

Coloring With Vigor

Stories & Rhymes

Exploration

English

Maths

Puzzles

Class 12 Maths Study Material

Three Dimensional Geometry

Which of the following set of points are non-collinear?

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?

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?

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?

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?

Correct Answer Is : 4/3

Solution Is :

The straight line (x - 3)/3 = (y - 2)/1 = (z - 1)/0 is?

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?

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?

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?

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?

Correct Answer Is : 7

Solution Is :

Other Topics

Kids Learning

Academics

Competitive Exams

Govt. Jobs Exams