Section Formula: 3- D Geometry, Class 11 Mathematics NCERT Solutions

1. There will be total 10 MCQ in this test.
2. Please keep a pen and paper ready for rough work but keep your books away.
3. The test will consist of only objective type multiple choice questions requiring students to mouse-click their correct choice of the options against the related question number.
4. No negative marking for incorrect choice.
5. Please click on “Finish the Test” when you want to exit.
6. All the best – Happy Studying

1. The coordinates of the centroid of a triangle whose vertices are (2, –1, 6), (3, 3, –2) and (–2, 1, –1) are:

A

B

C

D

Your comments:

Question 1 of 10

2. The ratio, in which YZ-plane divides the line joining (2, 4, 5) and (3, 5, 7) is:

5 : 4

2 : 3

1 : 2

4:1

Your comments:

Question 2 of 10

3. The ratio in which the join of points (1, -2, 3) and (4, 2, -1) is divided by XOY plane is:

1 : 3;internally

3 : 1;externally

3 : 1; internally

1 : 3; externally

Your comments:

Question 3 of 10

4. Three vertices of a parallelogram PQRS are P(3, - 1, 2), Q (1, 2, - 4) and R (- 1, 1, 2). Find the coordinates of the fourth vertex.

(1,-2,-8)

(1,-2,8)

(1,2,8)

(-1,-2,8)

Your comments:

Question 4 of 10

5. A point R with x-coordinate 1 lies on the line segment joining the points P(-2, 3,5) and Q (7, 0, -1). The coordinates of the point R are

(1,-2,3)

(-1,2,3)

(-1,-2,-3)

(1,2,3)

Your comments:

Question 5 of 10

6. If the origin is the centroid of the triangle ABC with vertices A (2a, 14, 6), B (8, 3b, -10) and C(-4, 2, 2c), then the values of a and c are.

A

B

C

D

Your comments:

Question 6 of 10

7. If the origin is the centroid of the triangle PQR with vertices P(2a, 2, 6), Q(-4, 3b, 10) and (8, 14, 2c), then the values of a, b and c are:

A

B

C

D

Your comments:

Question 7 of 10

8. The ratio in which the join of points (1, –2, 3) and (4, 2, –1) is divided by XOY plane is:

3 : 1

1 : 3

– 3 : 1

–1 : 3

Your comments:

Question 8 of 10

9. The coordinates of the point R which divides the line segment joining two points P (x₁, y₁, z₁) and Q (x₂, y₂, z₂) externally in the ratio m : n are given by

A

B

C

D

Your comments:

Question 9 of 10

10. The ratio in which the line joining the points and  is divided by the xy-plane is:

3 : 5

2 : 5

5 : 2

5 : 3

Your comments:

Question 10 of 10

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