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Test: Introduction To Three Dimensional Geometry- 2 - JEE MCQ


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25 Questions MCQ Test - Test: Introduction To Three Dimensional Geometry- 2

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Test: Introduction To Three Dimensional Geometry- 2 - Question 1

The distance between the planes   = p1 and  = p2 is

Test: Introduction To Three Dimensional Geometry- 2 - Question 2

The point equidistant from the points (0 , 0 , 0) , (1 , 0 , 0) , (0 , 2 , 0) , and (0 , 0 , 3) is

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Test: Introduction To Three Dimensional Geometry- 2 - Question 3

The plane x + y = 0 is

Test: Introduction To Three Dimensional Geometry- 2 - Question 4

The points (1 , 1 , 0) , (0 , 1 , 1) , (1 , 0 , 1) , and (2/3 , 2/3 , 2/3) are

Test: Introduction To Three Dimensional Geometry- 2 - Question 5

The lines The lines  and 

Test: Introduction To Three Dimensional Geometry- 2 - Question 6

The lines land l2 intersect. The shortest distance between them is

Test: Introduction To Three Dimensional Geometry- 2 - Question 7

Volume of a tetrahedron is k X area of one face X length of perpendicular from the opposite vertex upon it, where k is

Test: Introduction To Three Dimensional Geometry- 2 - Question 8

A, B, C and D are four points in spaces such that AB = BC = CD = DA. Then ABCD is a

Test: Introduction To Three Dimensional Geometry- 2 - Question 9

The foot of perpendicular from (α,β,γ) on Y axis is

Test: Introduction To Three Dimensional Geometry- 2 - Question 10

The centre of the sphere , which passes through (a , 0 , 0) , (0 , b , 0) (0 , 0 , c) and (0 , 0 ,0) is abc ≠ 0

Test: Introduction To Three Dimensional Geometry- 2 - Question 11

A sphere through three non – collinear points A, B, and C is smallest when its centre is

Test: Introduction To Three Dimensional Geometry- 2 - Question 12

Three planes x + y = 0, y + z = 0, and x + z = 0

Test: Introduction To Three Dimensional Geometry- 2 - Question 13

The centre of the sphere through the points (0 , 3 , 4) , (0 , 5 , 0) , (4 , 0 , 3) and (- 3 , 4 , 0) is

Test: Introduction To Three Dimensional Geometry- 2 - Question 14

The points A (0 , 0 , 0) , B (1 , √3 , 0) , C (2 , 0 , 0) and D (1 , 0 , √3) are the vertices of

Test: Introduction To Three Dimensional Geometry- 2 - Question 15

The points A (0 , 2 , 0) , B (√3 , 1 , 0) ,  are the vertices of

Test: Introduction To Three Dimensional Geometry- 2 - Question 16

The locus of a first degree equation in x, y, z is a

Test: Introduction To Three Dimensional Geometry- 2 - Question 17

Area of ΔABC whose vertices A (- 1 , 2 , 3) , B (1, 1, 1) , and C (2 , - 1 , 3) is

Test: Introduction To Three Dimensional Geometry- 2 - Question 18

The value of x for which the points (x , x , x) , (0 , - 1 , - 2) , (- 3 , - 4 , - 5) and (- 6 , - 7 , - 8) are non-coplanar is

Test: Introduction To Three Dimensional Geometry- 2 - Question 19

G is the centroid of triangle ABC. If P.V. of the points G , A , B , C are respectively,  and  then (x, y) = 

Test: Introduction To Three Dimensional Geometry- 2 - Question 20

If the four points (3 , - 2 , - 1) , (2 , 3 , - 4) , (- 1 , 1 , 2) and (4 , 5, λ) are coplanar then λ is equal to

Test: Introduction To Three Dimensional Geometry- 2 - Question 21

The number of spheres of a given radius which touch the coordinate planes is

Test: Introduction To Three Dimensional Geometry- 2 - Question 22

The plane XOZ divides the join of (1 , -1 , 5) and (2 , 3 ,4) in the ratio k : 1, then the value of k is

Test: Introduction To Three Dimensional Geometry- 2 - Question 23

In a three dimensional space, the equation 3x – 4y = 0 represents

Test: Introduction To Three Dimensional Geometry- 2 - Question 24

The coordinates of the foot of perpendicular from the point A (1, 1 , 1) , on the line joining the points B (1 , 4 , 6) and C (5 , 4 , 4) are

Test: Introduction To Three Dimensional Geometry- 2 - Question 25

The points (1, 2 , 3) , (- 1, -1 , - 1) and (3, 5 , 7) are the vertices of

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