What is the electronic arrangement of a metal atom/ion in an octahedral complex with a $d^4$ configuration,if $\Delta_0 < P$ (pairing energy)?
- A$t_{2g}^4 \ e_g^0$
- B$e_g^4 \ t_{2g}^0$
- C$t_{2g}^3 \ e_g^1$
- D$t_{2g}^2 \ e_g^2$
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Observe the following lists. Then the correct match for List-$I$ from List-$II$ is:
List-$I$ List-$II$ $(A)$ $[\mathbf{a} \mathbf{b} \mathbf{c}]$ $1. |\mathbf{a}||\mathbf{b}|\cos(\mathbf{a}, \mathbf{b})$ $(B)$ $(\mathbf{c} \times \mathbf{a}) \times \mathbf{b}$ $2. (\mathbf{a} \cdot \mathbf{c})\mathbf{b} - (\mathbf{a} \cdot \mathbf{b})\mathbf{c}$ $(C)$ $\mathbf{a} \times (\mathbf{b} \times \mathbf{c})$ $3. \mathbf{a} \cdot \mathbf{b} \times \mathbf{c}$ $(D)$ $\mathbf{a} \cdot \mathbf{b}$ $4. |\mathbf{a}||\mathbf{b}|$ $5. (\mathbf{b} \cdot \mathbf{c})\mathbf{a} - (\mathbf{a} \cdot \mathbf{b})\mathbf{c}$
| List-$I$ | List-$II$ |
| $(A)$ $[\mathbf{a} \mathbf{b} \mathbf{c}]$ | $1. |\mathbf{a}||\mathbf{b}|\cos(\mathbf{a}, \mathbf{b})$ |
| $(B)$ $(\mathbf{c} \times \mathbf{a}) \times \mathbf{b}$ | $2. (\mathbf{a} \cdot \mathbf{c})\mathbf{b} - (\mathbf{a} \cdot \mathbf{b})\mathbf{c}$ |
| $(C)$ $\mathbf{a} \times (\mathbf{b} \times \mathbf{c})$ | $3. \mathbf{a} \cdot \mathbf{b} \times \mathbf{c}$ |
| $(D)$ $\mathbf{a} \cdot \mathbf{b}$ | $4. |\mathbf{a}||\mathbf{b}|$ |
| $5. (\mathbf{b} \cdot \mathbf{c})\mathbf{a} - (\mathbf{a} \cdot \mathbf{b})\mathbf{c}$ |
If $x$ is real, then the minimum value of $\frac{x^2-x+1}{x^2+x+1}$ is
If the circle $x^2+y^2+2x+3y+1=0$ cuts another circle $x^2+y^2+4x+3y+2=0$ at points $A$ and $B$,then the equation of the circle with $AB$ as a diameter is
Which of the following is not correct?
If the pair of lines given by $(x^2+y^2) \cos^2 \theta = (x \cos \theta + y \sin \theta)^2$ are perpendicular to each other,then $\theta$ is equal to
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