Class 12 Math: Application of Integrals Important Exam Questions

NexPro Tools Mathematics TeamJune 5, 20266 min read

Preparing for school exams or final CBSE boards requires practicing questions patterned after official grading schemes. We have compiled a list of crucial questions for Class 12 Application of Integrals to help you test your mastery.

Exam-Pattern Questions and Answers

Question 1 (EASY)

P is a point on the line joining the points (0,5, -2) and B 3, -1,2) . If the x-coordinate of P is 6, then its z-coordinate is
  • Option 1: 10
  • Option 2: 6
  • Option 3: -6
  • Option 4: -10

Solution Explanation & Steps: (b) 6

Question 2 (EASY)

If (a, b), (c, d) and (e, f) are the vertices of ∆ABC and ∆ denotes the area of ∆ABC, then 2 1 1 1 a c e b d f is equal to:
  • Option 1: 2∆²
  • Option 2: 4∆²
  • Option 3: 2∆
  • Option 4: 4∆

Solution Explanation & Steps: (b) 4∆²

Question 3 (EASY)

Assertion(A): 2 1 2 2 3 1 x y z+ - -= =- and 3 1 3 2 2 x y z- + = =- - are coplanar. Reason (R) : Let line passes through the point ( ) and parallel to the vector whose direction ratios are Let line passes through the point ( ) and parallel to the vector whose direction ratios are . Then both lines are coplanar if and only if 2 1 2 1 2 1 1 1 1 2 2 2 0 x x y y z z a b c a b c - - - =
  • Option 1: Option A
  • Option 2: Option B
  • Option 3: Option C
  • Option 4: Option D

Solution Explanation & Steps: (a) Both A and R are true and R is the correct explanation of A.

Grading Step-Marking Guidelines

Remember that teachers award partial marks for writing down formulas, stating the given variables, and drawing diagrams. Never leave a question blank on an exam. Write down the relevant formulas and initial substitution steps to secure partial credits.

📚 Class 12 Math Resource Hub for Application of Integrals: • 🧮 Interactive Solver: Solve Application of Integrals Problems - Verify steps in real-time. • 📝 Timed Practice Quiz: Take Application of Integrals Online Quiz - Test your speed and concepts. • 📄 Printable Worksheet: Download Application of Integrals PDF Worksheet - Interactive problems with answers. • 📐 Formula Sheet: View Application of Integrals Key Equations - Complete revision references. • 🔄 Next Topic Guide: Differential Equations Study Notes • 🎓 Syllabus Overview: Class 12 Mathematics Portal - Access all chapter guides.
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