The negation of the conditional statement: "If it rains,$I$ shall go to school" is
- AIt rains and $I$ shall go to school
- BIt rains and $I$ shall not go to school
- CIt does not rain and $I$ shall go to school
- DNone of these
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If a point $(x, y) = (\tan \theta + \sin \theta, \tan \theta - \sin \theta)$,then the locus of $(x, y)$ is
If $3 \hat{i}+3 \hat{j}+\sqrt{3} \hat{k}$, $\hat{i}+\hat{k}$, and $\sqrt{3} \hat{i}+\sqrt{3} \hat{j}+\lambda \hat{k}$ are coplanar, then $\lambda$ is equal to
Match List-$I$ with List-$II$ for the composition of substances and select the correct answer using the code given below the lists.
List-$I$ (Substances) List-$II$ (Composition) $A$. Plaster of Paris $i$. $CaSO_4 \cdot 1/2H_2O$ $B$. Epsomite $ii$. $MgSO_4 \cdot 7H_2O$ $C$. Kieserite $iii$. $MgSO_4 \cdot H_2O$ $D$. Gypsum $iv$. $CaSO_4 \cdot 2H_2O$ $v$. $CaSO_4$
| List-$I$ (Substances) | List-$II$ (Composition) |
|---|---|
| $A$. Plaster of Paris | $i$. $CaSO_4 \cdot 1/2H_2O$ |
| $B$. Epsomite | $ii$. $MgSO_4 \cdot 7H_2O$ |
| $C$. Kieserite | $iii$. $MgSO_4 \cdot H_2O$ |
| $D$. Gypsum | $iv$. $CaSO_4 \cdot 2H_2O$ |
| $v$. $CaSO_4$ |
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