2.Relations and Functions
easy

જો $P$, $Q$ અને $R$ એ ગણ $A$ ના ઉપગણ હોય તો $R × (P^c  \cup  Q^c)^c =$

A

$(R × P)  \cap (R × Q)$

B

$(R \times Q) \cup (R \times P)$

C

$(R \times P) \cup (R \times Q)$

D

એકપણ નહી.

Solution

(a) $R \times {({P^c} \cup {Q^c})^c} = R \times [{({P^c})^c} \cap {({Q^c})^c}]$

= $R \times (P \cap Q) = (R \times P) \cap (R \times Q)$ = $(R \times Q) \cap (R \times P)$.

Standard 11
Mathematics

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