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Maths Assertion (A) & Reason (B) MCQ

Model Paper 4 · Gujarat Board (GSEB) STD 9 (GSEB - English Medium). 2 questions.

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Assertion (A) & Reason (B) MCQ

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2 questions · timed · auto-graded

MCQ 11 Mark
Assertion (A): $5-\sqrt{2}=5-1.414=3.586$ is an irrational number.
Reason (R): The difference of a rational number and an irrational number is an irrational number.
  • A
    Both A and R are true and R is the correct explanation of A.
  • B
    Both A and R are true but R is not the correct explanation of A.
  • C
    A is true but R is false.
  • D
    A is false but R is true.
Answer
(a) Both A and R are true and R is the correct explanation of A.
Explanation: Both A and R are true and R is the correct explanation of A.
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MCQ 21 Mark
Assertion (A): In $\Delta ABC , E$ and $F$ are the midpoints of AC and AB respectively. The altitude AP at BC intersects $F E$ at $Q$ . Then, $AQ = QP$.
Reason (R): Q is the midpoint of AP.
  • A
    Both A and R are true and R is the correct explanation of A.
  • B
    Both A and R are true but R is not the correct explanation of A.
  • C
    A is true but R is false.
  • D
    A is false but R is true.
Answer
(b) Both A and R are true but R is not the correct explanation of A.
Explanation:
In $\Delta  ABC , E$ and F are midpoint of the sides AC and AB respectively.
$FE \| BC$ [By mid-point theorem]
Now, in $\Delta A B P, F$ is mid-point of $A B$ and $F Q \| B P$. $Q$ is mid-point of $A P$ $AQ=QP$
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Assertion (A) & Reason (B) MCQ - Maths STD 9 Questions - Vidyadip