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  • Class 12 Maths 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 Maths Three Dimensional Geometry for Class 12 student. This free online Maths study material for Class 12 will help students in learning and doing practice on Three Dimensional Geometry topic of Class 12 Maths. The study material on Three Dimensional Geometry, help Class 12 Maths 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 Maths with free online comprehensive study material and loads of Class 12 Maths 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 Maths Three Dimensional Geometry.


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
Correct Answer Is : √107
Solution Is :

Preparation for Exams

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