MCQ Equation of Plane, Class 12 Mathematics

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 equation of the plane passing through the point (3, - 3, 1) and perpendicular to the line joining the points (3, 4, - 1) and (2, - 1, 5) is:

- x - 5y + 6z + 18 = 0

x - 5y + 6z + 18 = 0

x + 5y - 6z + 18 = 0

- x - 5y - 6z + 18 = 0

Your comments:

Question 1 of 10

2. The equation of the plane, which is at a distance of 5 unit from the origin and has as a normal vector, is:

A

B

C

D

Your comments:

Question 2 of 10

3. The Cartesian form of the equation of the plane is:

2x+3y-z=10

2x+3y-z= √14

2x+3y-z+√14=0

2x+3y-z+10=0

Your comments:

Question 3 of 10

4. The length of the perpendicular from the origin to the plane 3x + 2y - 6z = 21 is:

3

14

21

7

Your comments:

Question 4 of 10

5. Let a, b, c are the direction ratios of the normal and (x, y, z) be the co-ordinate of the point through which the plane passes. Then the equation of plane is:

A

B

C

D

Your comments:

Question 5 of 10

6. If l, m, n are the direction cosines of the normal to the plane and p be the perpendicular distance of the plane from the origin, then the equation of the plane is:

A

B

C

D

Your comments:

Question 6 of 10

7. If is the normal from the origin to the plane, and is the unit vector along . P(x, y, z) be any point on the plane and is perpendicular to . Then

A

B

C

D

Your comments:

Question 7 of 10

8. The length of the perpendicular from the origin to the plane 2x - 3y + 6z = 21 is:

14 unit

21 unit

7 unit

3 unit

Your comments:

Question 8 of 10

9. The angle between two lines whose direction ratios are 1,2,1 and 2,-3,4 is:

30°

60°

90°

45°

Your comments:

Question 9 of 10

10. The equation of the plane passing through the points (2, 1, 0), (3, - 2, - 2) and (3, 1, 7) is:

7x + 3y - z = 17

7x + 3y - 2z = 21

7x + 3y - z = 21

-7x - 3y + z = 17

Your comments:

Question 10 of 10

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