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MATHS Assertion (A) & Reason (B) MCQ

Quadrilaterals · Rajasthan Board (RBSE) STD 9 (Rajasthan - English Medium). 57 questions.

Questions · Page 2 of 2

Assertion (A) & Reason (B) MCQ

Question 511 Mark
Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: Diagonal of parallogram are divide into two congruent triangle.
Reason: In a parallelogram opposite angle are not equal.
  1. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
  2. Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
  3. Assertion is true but the reason is false.
  4. Both assertion and reason are false.
Answer
  1. Assertion is true but the reason is false.
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Question 521 Mark
Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: In $\triangle\text{ABC},$ E and F are the midpoints of AC and AB respectively. The altitude AP at BC intersects FE at Q. Then, AQ = QP.
Reason: Q is the midpoint of AP.
  1. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
  2. Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
  3. Assertion is true but the reason is false.
  4. Both assertion and reason are false.
Answer
  1. Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
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Question 531 Mark
Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: Every square is rhombus.
Reason: Every rhombus is a square.
  1. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
  2. Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
  3. Assertion is true but the reason is false.
  4. Both assertion and reason are false.
Answer
  1. Assertion is true but the reason is false.
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Question 541 Mark
Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: In $\triangle\text{ABC},$ median AD is produced to X such that AD = DX . Then ABXC is a parallelogram.
Reason: Diagonals AX and BC bisect each other at right angles.
  1. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
  2. Both Assertion and Reason are correct and Reason is not the correct explanation for Assertion.
  3. Assertion is true but the reason is false.
  4. Both assertion and reason are false.
Answer
  1. Assertion is true but the reason is false.
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Question 551 Mark
Assertion and Reason Type MCQ
Assertion: In a rhombus ABCD, the diagonal AC bisects $\angle\text{A}$ as well as $\angle\text{C}.$
Reason: The diagonals of a rhombus bisect each other at right angles.
  1. Both Assertion (A) and Reason (R) are true and Reason is a correct explanation of Assertion (A).
  2. Both Assertion (A) and Reason (R) are true but Reason is not a correct explanation of Assertio (A).
  3. Assertion (A) is true and Reason (R) is false.
  4. Assertion (A) is false and Reason (R) is true.
Answer
  1. Both Assertion (A) and Reason (R) are true but Reason is not a correct explanation of Assertio (A).
    Solution:

    In a rhombus ABCD, the diagonal AC bisects $\angle\text{A}$ as well as $\angle\text{C}.$
    So, the Assertion (A) is true.
    The diagonal of a rhombus bisect each other at right angles.
    So, the Reason (R) is true, and is not the correct explanation for the Assertion (A).
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Question 561 Mark
Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: ABCD is a square. AC and BD intersect at O. The measure of $\angle\text{AOB}=90^\circ$.
Reason: Diagonals of a square bisect each other at right angles.
  1. Both assertion and reason are true and reason is the correct enatixplaon of assertion.
  2. Both assertion and reason are true but reason is not the correct explanation of assertion.
  3. Assertion is true but reason is false.
  4. Assertion is false but reason is true.
Answer
  1. Both assertion and reason are true and reason is the correct enatixplaon of assertion.
    Solution:
    Since, diagonals of a square bisect each other at right angles.
    $\angle\text{AOB}=90^\circ$
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Question 571 Mark
Answer
  1. Both assertion and reason are true but reason is not the correct explanation of assertion.
    Solution:
    In $\triangle\text{ADC},$ Q is the midpoint of AC such that $\text{PQ}\parallel\text{AD}.$
    P is the mid - point of DC
    DP = PC [Using converse of midpoint theorem]
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Assertion (A) & Reason (B) MCQ - Page 2 - MATHS STD 9 Questions - Vidyadip