MHT CET · Maths · Mathematical Reasoning
The symbolic form of the following circuit is (where and \(s_{2}\) closed respectively)
- A \((p \wedge q) \wedge(\sim p \wedge \sim q) \equiv \ell\)
- B \(p \vee[q \wedge(\sim p \wedge \sim q) \equiv \ell\)
- C \(\mathrm{p} \wedge[\mathrm{q} \wedge(\sim \mathrm{p} \wedge \sim \mathrm{q}) \equiv \ell\)
- D \((p \vee q) \vee(\sim p \wedge \sim q) \equiv \ell\)
Answer & Solution
Correct Answer
(D) \((p \vee q) \vee(\sim p \wedge \sim q) \equiv \ell\)
Step-by-step Solution
Detailed explanation
(B)
Let \(\mathrm{p}\) : the switch \(\mathrm{S}_{1}\) is closed
\(\mathrm{q}\) : The switch \(\mathrm{S}_{2}\) is closed
\(l:\) The lamp
Given circuit can be expressed as \((p \vee q) \vee(\sim p \wedge \sim q)\)
Let \(\mathrm{p}\) : the switch \(\mathrm{S}_{1}\) is closed
\(\mathrm{q}\) : The switch \(\mathrm{S}_{2}\) is closed
\(l:\) The lamp
Given circuit can be expressed as \((p \vee q) \vee(\sim p \wedge \sim q)\)
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