Class 11 Math: Conic Sections Important Exam Questions

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 11 Conic Sections to help you test your mastery.

Exam-Pattern Questions and Answers

Question 1 (MEDIUM)

This is a descriptive problem. Work out all steps on paper before checking the solution.

Solution Explanation & Steps: x2 = - 16y is of the form x2 = 4ay with a = - 4. Focus is (0, - 4), vertex is (0, 0) and directrix is y = 4. OR Find the eccentricity of the ellipse if its latus rectum is equal to one half of its minor axis. Ans. Prepared by: M. S. KumarSwamy, TGT(Maths) Page - 5 Latus rectum = 1 2 (minor axis) Now, apply b2 = a2 (1 - e2), we get e = 3 2

Question 2 (EASY)

• Option 1: F
• Option 2: F
• Option 3: F
• Option 4: F

Solution Explanation & Steps: (c) F(4, 0) Let ZM be the directrix, where coordinates of Z are (0, 0). Let the focus be F( a, 0). Prepared by: M. S. KumarSwamy, TGT(Maths) Page - 4 Then, vertex A is the midpoint of ZF. ∴ 0 2 42 a a+ = ⇒ = ∴ focus is F(4, 0).

Question 3 (EASY)

• Option 1: Systematic application of coordinate rules
• Option 2: Advanced integral equations
• Option 3: Infinite boundary coordinates
• Option 4: None of the above

Solution Explanation & Steps: Studying Sections of a cone overview requires mastering basic coordinate relationships first.

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.