Plane Equation Objective Questions
Plane Equation – Objective Questions (MCQs) with Answers & Explanations
Class: CBSE Class 12
Subject: Mathematics
Section: Three Dimensional Geometry
Topic: Plane Equation Objective Questions
Exam Focus: CBSE Board Examinations
Subject: Mathematics
Section: Three Dimensional Geometry
Topic: Plane Equation Objective Questions
Exam Focus: CBSE Board Examinations
These Multiple Choice Questions (MCQs) are designed strictly as per the NCERT syllabus, making them ideal for CBSE Class 12 Board Examination practice. Each question includes a detailed concept-clearing explanation.
1. General equation of a plane is:
Answer: A
The most general form of a plane in 3D is ax + by + cz + d = 0 where (a,b,c) is the normal vector.
The most general form of a plane in 3D is ax + by + cz + d = 0 where (a,b,c) is the normal vector.
2. Vector normal to plane ax+by+cz+d=0 is:
Answer: B
Coefficients of x, y, z give the direction ratios of the normal.
Coefficients of x, y, z give the direction ratios of the normal.
3. Equation of plane parallel to XY-plane:
Answer: C
Normal is along z-axis, so equation is z = constant.
Normal is along z-axis, so equation is z = constant.
4. Plane through origin has form:
Answer: A
Passing through origin ⇒ d = 0.
Passing through origin ⇒ d = 0.
5. Intercept form of plane is:
Answer: A
Represents intercepts on coordinate axes.
Represents intercepts on coordinate axes.
6. Distance of plane ax+by+cz+d=0 from origin:
Answer: A
Standard perpendicular distance formula.
Standard perpendicular distance formula.
7. If two planes have proportional normals, they are:
Answer: B
Parallel normals ⇒ parallel planes.
Parallel normals ⇒ parallel planes.
8. Angle between planes depends on:
Answer: B
Angle equals angle between normal vectors.
Angle equals angle between normal vectors.
9. Plane parallel to YZ-plane:
Answer: A
Normal along x-axis.
Normal along x-axis.
10. Coincident planes have:
Answer: A
All coefficients proportional.
All coefficients proportional.
11. Plane perpendicular to x-axis:
Answer: A
12. Number of points determine a plane:
Answer: C
13. Direction ratios of normal define:
Answer: B
14. Plane cutting equal intercepts:
Answer: A
15. Parallel planes distance is:
Answer: B
16. Plane equation uses concept of:
Answer: A
17. If d=0 plane passes through:
Answer: B
18. Plane normal magnitude gives:
Answer: B
19. Two intersecting planes form:
Answer: A
20. Angle between perpendicular planes:
Answer: C