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Maths Assertion (A) & Reason (B) MCQ

MODEL PAPER 2025 · Gujarat Board (GSEB) STD 12 Science (GSEB - English Medium). 2 questions.

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Assertion (A) & Reason (B) MCQ

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2 questions · auto-graded multiple-choice test.

MCQ 11 Mark
Assertion (A): The function $f: R-\left\{(2 n+1) \frac{\pi}{2}: n \in Z\right\} \rightarrow(-\infty,-1] \cup[1, \infty)$ defined by $f(x)=\sec x$ is not one - one function in its domain.

Reason (R): The line y = 2 meets the graph of the function at more than one point.
  • ✓
    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
  • D
    (A) is false but (R) is true.
Answer
Correct option: A.
Both (A) and (R) are true and (R) is the correct explanation of (A).
Both (A) and (R) are true and (R) is the correct explanation of (A).
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MCQ 21 Mark
Assertion (A): Consider the function defined as $f(x)=|x|+|x-1|, x \in R$. Then $f(x)$ is not differentiable at x = 0 x = 1

Reason (R): Suppose f be defined and continuous on $(a, b)$ and $c \in(a, b)$, then $f(x)$ is not differentiable at $x=c$ if $\lim _{h \rightarrow 0^{-}} \frac{f(c+h)-f(c)}{h} \neq \lim _{h \rightarrow 0^{+}} \frac{f(c+h)-f(c)}{h}$.
  • ✓
    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
  • D
    (A) is false but (R) is true.
Answer
Correct option: A.
Both (A) and (R) are true and (R) is the correct explanation of (A).
Both (A) and (R) are true and (R) is the correct explanation of (A).
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Assertion (A) & Reason (B) MCQ - Maths STD 12 Science Questions - Vidyadip