Assertion and Reason Questions for Class 9 Maths Chapter 10 Circles

Here we are providing assertion reason questions for class 9 maths. In this article, we are covering assertion reason questions for Class 9 Maths Chapter 10 Circles. Solutions are also provided. Students are suggested to solve the questions by themselves. After completing all questions, refer to answers and solutions for better understanding.

Assertion and Reason Questions for Class 9 Maths Chapter 10 Circles

Directions: Choose the correct answer out of the following choices :
(a) Assertion and Reason both are correct statements and Reason is the correct explanation of Assertion.
(b) Assertion and Reason both are correct statements but Reason is not the correct explanation of Assertion.
(c) Assertion is correct statement but Reason is wrong statement.
(d) Assertion is wrong statement but Reason is correct statement.

Q.1. Assertion : In the given figure, ∠ABC = 70° and ∠ACB = 30°. Then, ∠BDC = 80°.

Reason : Angles in the same segment of a circle are equal.

Answer

Answer: (a)

Q.2. Assertion : In the given figure, O is the centre of circle. If ∠AOC = 140°, then ∠ABC =110°.

Reason : In cyclic quadrilateral, opposite angles are supplementary.

Answer

Answer: (a)

Q.3. Assertion : In the given figure, ∠BAO = 30° and ∠BCO = 40°. Then the measure of ∠AOC= 60°.

Reason : Angle subtended by an arc of a circle at the centre of the circle is twice the angle subtended by that arc on the remaining part of the circle.

Answer

Answer: (d)

Q.4. Assertion : AB and CD are two parallel chords of a circle whose diameter is AC. Then AB ≠ CD.
Reason : Perpendicular from the centre of a circle bisects the chord.

Answer

Answer: (d)

Q.5. Assertion : In the given figure, O is the centre of the circle of radius 5 cm. If OP ⊥ AB, OQ ⊥ CD, AB || CD, AB = 6 cm and CD = 8 cm, then PQ = 6 cm.

Reason : Perpendicular bisectors of two chords of a circle intersect at its centre.

Answer

Answer: (d)

Q.6. Assertion : The length of a chord which is at a distance of 5 cm from the centre of a circle of radius 10 cm is 17.32 cm.
Reason : The perpendicular from the centre of a circle to a chord bisects the chord.

Answer

Answer: (a)

Q.7. Assertion : In the given figure, ABCD is a cyclic quadrilateral in which AB is extended to F and BE || DC. If ∠FBE = 20° and ∠DAB = 95°, then ∠ADC = 105°.

Reason : A line drawn through the centre of a circle to bisect a chord is perpendicular to the
chord.

Answer

Answer: (a)

What are Assertion Reason Questions?

Certainly, Assertion Reason questions are a specific kind of questions often found in tests, especially in subjects like science and logic. In these questions, there are two statements: one is the Assertion (a statement) and the other is the Reason (an explanation). Your job is to see how these two statements relate to each other and decide if they are both correct or not.

Here’s a breakdown of the structure of an Assertion Reason question:

Assertion: The Assertion is a statement presented as a fact or claim. It may be true or false, and it is typically written in a straightforward manner.
Reason: The Reason is a statement that provides an explanation or justification for the Assertion. It can support or challenge the Assertion, depending on the accuracy of the Reasoning provided.
Options: Multiple options are typically provided alongside the Assertion Reason pair. The test-taker must choose the correct option that reflects the logical relationship between the Assertion and the Reason.

The possible options typically include:

a) If both the Assertion and the Reason are true, and the Reason is a correct explanation of the Assertion.

b) If both the Assertion and the Reason are true, but the Reason is not a correct explanation of the Assertion.

c) If the Assertion is true, but the Reason is false.

d) If the Assertion is false, but the Reason is true.

e) If both the Assertion and the Reason are false.

To answer Assertion Reason questions correctly, the test-taker needs to analyze the accuracy and logical connection between the two statements. It requires critical thinking, reasoning abilities, and a thorough understanding of the subject matter.

It is important to note that Assertion Reason questions can be challenging, as the test-taker needs to evaluate both statements independently and then determine the relationship between them. Careful reading, logical reasoning, and knowledge of the subject are essential for accurately answering such questions.

Preparation Tips to Score More in Assertion Reason Questions for Class 9 Maths

Assertion-reasoning questions can be daunting for CBSE students as they demand a deeper grasp and analytical thinking compared to regular multiple-choice queries. Such questions have two parts: an assertion and a reason. Students must decide if both are true and if the reason supports the assertion.

These questions go beyond rote knowledge, needing understanding of connections between facts. Fear might arise if students lack confidence in analyzing and judging the data. Also, their significant marks can intensify exam pressure.

However, with practice and a solid understanding of the concepts, students can overcome their fear of assertion-reasoning questions and perform well on their exams. It is important for students to read the questions carefully, understand the meaning of each statement, and analyze the relationship between the two statements before selecting their answer.

Preparing for assertion-reasoning questions can be challenging, but by adopting effective strategies, you can enhance your abilities and excel in exams. Here’s how you can prepare:

Understand the Concepts
Practice Regularly
Develop Analytical Skills
Take Notes
Seek Help

By following these strategies and putting in the effort to practice, you can improve your skills and perform well on assertion-reasoning questions.

Assertion and Reason Questions for Class 9 Maths Chapter 10 Circles

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