Assertion (A) & Reason (B) MCQ

MCQ 11 Mark

Assertion (A): The function $f(x)=(x+2) e ^{- x }$ is increasing in the interval $(-1, \infty)$. Reason (R): A function $f(x)$ is increasing, if $f^{\prime}(x)>0$.

A
Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of the Assertion (A).
B
Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the Assertion (A).
C
Assertion (A) is true and Reason (R) is false.
✓
Assertion (A) is false and Reason (R) is true.

Answer

Correct option: D.

Assertion (A) is false and Reason (R) is true.

(d) Assertion (A) is false and Reason (R) is true.
Explanation: Assertion (A) is false and Reason (R) is true.

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MCQ 21 Mark

Assertion (A): The matrix $A=\left[\begin{array}{ccc}3 & -1 & 0 \\ \frac{3}{2} & 3 \sqrt{2} & 1 \\ 4 & 3 & -1\end{array}\right]$ is rectangular matrix of order 3 . Reason (R): If $A =\left[a_{i j}\right]_{m \times 1}$, then A is column matrix.

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.
✓
A is false but R is true.

Answer

Correct option: D.

A is false but R is true.

(d) A is false but R is true.
Explanation: Assertion: $A=\left[\begin{array}{ccc}3 & -1 & 0 \\ \frac{3}{2} & 3 \sqrt{2} & 1 \\ 4 & 3 & -1\end{array}\right]$ is a square matrix of order 3 .
Reason: In general, $A =\left[a_{i j}\right]_{m \times 1}$ is a column matrix.

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Applied Maths Assertion (A) & Reason (B) MCQ

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