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.

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Three Dimensional Geometry

Distance of the point (1, 2, 3) from the co-ordinate axes are?

a) 13, 10, 5
b) √13, √10, √5
c) √3, √13, √10
d) 1/√13, 1/√10, 1/√5

✔Answer

Correct Answer Is : √13, √10, √5

Solution Is :

If the extremities of the diagonal of square are (2, -3, 4) and (3, -4, 6), then the length of the side is?

a) √3
b) √6
c) √5
d) √7

✔Answer

Correct Answer Is : √3

Solution Is :

The points A(5, -1, 1), B(7, -4, 7), C(1, -6, 10) and D(-1, -3, 7) are vertices of a?

a) Square
b) Rectangle
c) Rhombus
d) Parallelogram

✔Answer

Correct Answer Is : Rhombus

Solution Is :

If the points (0, 1, 2), (2, -1, 3) and (1, -3, 1) are the vertices of a triangle, then the triangle is?

a) Right angled
b) Isosceles right angled
c) Equilateral
d) None of these

✔Answer

Correct Answer Is : Isosceles right angled

Solution Is :

The points in XY-plane which is equidistant from three points A(2, 0, 3), B(0, 3, 2) and C(0, 0, 1) has the co-ordinates?

a) (2, 0, 8)
b) (0, 3, 1)
c) (3, 2, 0)
d) (3, 2, 1)

✔Answer

Correct Answer Is : (3, 2, 0)

Solution Is :

If A(1, 2, -1) and B(-1, 0, 1) are given, then the co-ordinates of P which divides AB externally in the ratio 1:2 are?

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

✔Answer

Correct Answer Is : (3, 4, -3)

Solution Is :

The ratio in which the line joining the points (1, 2, 3) and (-3, 4, -5) is divided by the XY-plane, is?

a) 3 : 5 internally
b) 5 : 3 externally
c) 3 : 5 externally
d) 5 : 3 internally

✔Answer

Correct Answer Is : 3 : 5 internally

Solution Is :

If x-coordinate of a point P of line joining the points Q(2, 2, 1) and R(5, 2, -2) is 4 ,then the z-coordinate of P is?

a) -2
b) -1
c) 1
d) 2

✔Answer

Correct Answer Is : -1

Solution Is :

If the points (-1, 3, 2), (-4, 2, -2) and (5, 5, ?) are collinear, then ? = ?

a) -10
b) 5
c) -5
d) 10

✔Answer

Correct Answer Is : 10

Solution Is :

If the centroid of the tetrahedron OABC, where A, B, C are given by (a, 2, 3), (1, b, 2) and (2, 1, c) respectively be (1, 2, -1), then distance of P(a, b, c) from origin is equal to?

a) √107
b) √14
c) √(107/14)
d) √105

✔Answer

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Class 12 Maths Study Material

Three Dimensional Geometry

Distance of the point (1, 2, 3) from the co-ordinate axes are?

Correct Answer Is : √13, √10, √5

Solution Is :

If the extremities of the diagonal of square are (2, -3, 4) and (3, -4, 6), then the length of the side is?

Correct Answer Is : √3

Solution Is :

The points A(5, -1, 1), B(7, -4, 7), C(1, -6, 10) and D(-1, -3, 7) are vertices of a?

Correct Answer Is : Rhombus

Solution Is :

If the points (0, 1, 2), (2, -1, 3) and (1, -3, 1) are the vertices of a triangle, then the triangle is?

Correct Answer Is : Isosceles right angled

Solution Is :

The points in XY-plane which is equidistant from three points A(2, 0, 3), B(0, 3, 2) and C(0, 0, 1) has the co-ordinates?

Correct Answer Is : (3, 2, 0)

Solution Is :

If A(1, 2, -1) and B(-1, 0, 1) are given, then the co-ordinates of P which divides AB externally in the ratio 1:2 are?

Correct Answer Is : (3, 4, -3)

Solution Is :

The ratio in which the line joining the points (1, 2, 3) and (-3, 4, -5) is divided by the XY-plane, is?

Correct Answer Is : 3 : 5 internally

Solution Is :

If x-coordinate of a point P of line joining the points Q(2, 2, 1) and R(5, 2, -2) is 4 ,then the z-coordinate of P is?

Correct Answer Is : -1

Solution Is :

If the points (-1, 3, 2), (-4, 2, -2) and (5, 5, ?) are collinear, then ? = ?

Correct Answer Is : 10

Solution Is :

If the centroid of the tetrahedron OABC, where A, B, C are given by (a, 2, 3), (1, b, 2) and (2, 1, c) respectively be (1, 2, -1), then distance of P(a, b, c) from origin is equal to?

Correct Answer Is : √107

Solution Is :

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