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

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

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

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)

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)

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

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

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

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

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

Question 10 of 10

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