Hello students, we are providing assertion reason questions for class 11. Assertion Reason questions are the new question format that is introduced in CBSE board. The resources for assertion reason questions are very less. So, to help students we have created chapterwise assertion reason questions for class 11 maths. In this article, you will find assertion reason questions for CBSE Class 11 Maths Chapter 10 Conic Sections. It is a part of Assertion Reason Questions for CBSE Class 11 Maths Series.
| Chapter | Conic Sections |
| Type of Questions | Assertion Reason Questions |
| Nature of Questions | Competency Based Questions |
| Board | CBSE |
| Class | 11 |
| Subject | Maths |
| Useful for | Class 11 Studying Students |
| Answers provided | Yes |
| Difficulty level | Mentioned |
| Important Link | Class 11 Maths Chapterwise Assertion Reason |
Assertion Reason Questions on Conic Sections
Assertion Reason Questions
Directions:
Each of the following questions consists of two statements: an Assertion (A) and a Reason (R). Answer them by selecting the correct option:
(a) Both Assertion (A) and Reason (R) are true, and Reason (R) is the correct explanation of Assertion (A).
(b) Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of Assertion (A).
(c) Assertion (A) is true, but Reason (R) is false.
(d) Assertion (A) is false, but Reason (R) is true.
Q1. Assertion (A): The standard equation of a circle with center at origin and radius $r$ is $x^2+y^2=r^2$.
Reason (R): All points on the circle are at a distance $r$ from the origin.
Answer: (a) Both $A$ and $R$ are true, and $R$ is the correct explanation of $A$.
Difficulty Level: Moderate
Q2. Assertion (A): The eccentricity of a parabola is always equal to 1.
Reason (R): Parabola is the set of all points equidistant from a fixed point (focus) and a fixed line (directrix).
Answer: (a) Both A and R are true, and R is the correct explanation of A.
Difficulty Level: Moderate
Q3. Assertion (A): The standard equation of a horizontal hyperbola centered at the origin is $\frac{x^2}{a^2}+\frac{y^2}{b^2}=1$.
Reason (R): For a hyperbola, the sum of distances from any point on the curve to the foci is constant.
Answer: (c) Assertion is false, but Reason is true.
Difficulty Level: Tough
Q4. Assertion (A): The latus rectum of a parabola $y^2=4 a x$ is $4 a$.
Reason (R): Latus rectum is the chord passing through the focus and perpendicular to the axis of symmetry.
Answer: (a) Both $A$ and $R$ are true, and $R$ is the correct explanation of $A$.
Difficulty Level: Moderate
Q5. Assertion (A): The equation $x^2+y^2-4 x+6 y+9=0$ represents a circle.
Reason (R): Completing the square method can be used to convert the equation into standard form.
Answer: (b) Both $A$ and $R$ are true, but $R$ is not the correct explanation of $A$.
Difficulty Level: Tough
Also check
- Probability Class 11 Assertion Reason Questions Maths Chapter 14
- Statistics Class 11 Assertion Reason Questions Maths Chapter 13
- Limits and Derivatives Class 11 Assertion Reason Questions Maths Chapter 12
- Introduction to Three Dimensional Geometry Class 11 Assertion Reason Questions Maths Chapter 11
- Conic Sections Class 11 Assertion Reason Questions Maths Chapter 10
- Straight Lines Class 11 Assertion Reason Questions Maths Chapter 9
- Sequences and Series Class 11 Assertion Reason Questions Maths Chapter 8
- Binomial Theorem Class 11 Assertion Reason Questions Maths Chapter 7
- Permutation and Combinations Class 11 Assertion Reason Questions Maths Chapter 6
- Linear Inequalities Class 11 Assertion Reason Questions Maths Chapter 5
- Complex Numbers and Quadratic Equations Class 11 Assertion Reason Questions Maths Chapter 4
- Trigonometric Functions Class 11 Assertion Reason Questions Maths Chapter 3
- Relations and Functions Class 11 Assertion Reason Questions Maths Chapter 2
- Sets Class 11 Assertion Reason Questions Maths Chapter 1
Topics from which assertion reason questions may be asked
- Parabola
- Ellipse
- Hyperbola
- Circle
Conics describe the curves formed by intersecting a plane with a cone.
Assertion reason questions from the above given topic may be asked.
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Frequently Asked Questions (FAQs) on Conic Sections Assertion Reason Questions Class 11
Q1: What does the chapter ‘Conic Sections’ cover?
A1: It introduces and builds core mathematical concepts related to conic sections.
Q2: What are assertion reason questions?
A2: These consist of an assertion and a reason. Students evaluate both statements and their relationship.
Q3: Why solve assertion reason questions from Conic Sections?
A3: They enhance understanding and critical thinking around the chapteru2019s key concepts.
Q4: Are these questions helpful for CBSE exams?
A4: Yes, they are competency-based and part of CBSEu2019s exam structure.
