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This is a matching answer type question as classified in NCERT Exemplar

$\begin{array}{l}\left(a\right)Inxy-plane,z-coordinateiszero.\\ Hence,\left(a\right)\leftrightarrow \left(iii\right).\\ \left(b\right)Thepoint\left(2,3,4\right)liesinfirstoctant.\\ Hence,\left(b\right)\leftrightarrow \left(i\right).\\ \left(c\right)Locusofthepointswithx-coordinateiszeroisyz-plane.\\ Hence,\left(c\right)\leftrightarrow \left(ii\right).\\ \left(d\right)Alineisparalleltox-axisifandonlyifallthepointsontheline\\ haveequalyandz-coordinates.\\ Hence,\left(d\right)\leftrightarrow \left(vi\right).\\ \left(e\right)x=0,y=0representsz-axis.\\ Hence,\left(e\right)\leftrightarrow \left(iv\right).\\ \left(f\right)z=crepresentaplaneparalleltoxy-plane.\\ Hence,\left(f\right)\leftrightarrow \left(v\right).\\ \left(g\right)Theplanesx=a,y=brepresentthelineparalleltoz-axis.\\ Hence,\left(g\right)\leftrightarrow \left(viii\right).\\ \left(h\right)Coordinatesofapointarethedistancesfromtheorigintothefeetofperpendicularfrom\\ thepointontherespectiveaxes,\\ Hence,\left(h\right)\leftrightarrow \left(vii\right).\\ \left(i\right)Aballissolidregioninthespaceenclosedbyasphere.\\ Hence,\left(i\right)\leftrightarrow \left(x\right).\\ \left(j\right)Theregionintheplaneenclosedbyacircleisknownasadisc.\\ Hence,\left(i\right)\leftrightarrow \left(ix\right).\end{array}$

  $S{c}^{3+}-3d^0$ electron in last subshell

$Z{n}^{2+}-3d^{10}$ electron in last subshell

$T{i}^{4+}-3d^0$ electron in last subshell

$C{u}^{2+}-3d^9$ electron in last subshell

$V^{2+}-3d^3$ electron in last subshell

$T{i}^{3+}-3d^1$ electron in last subshell

$M{n}^{2+}-3d^5$ electron in last subshell

The top Architecture college in India for the year 2025 can be determined based on the ranking released by The Week for the year 2025. The list of the top 10 Architecture colleges is given in the table below:

Disclaimer: This information is sourced from the official websites of the ranking bodies.

The aspirants of BTech at CMJ University have to submit the educational certificates and other identity proofs. Aspirants must keep the certificates ready at the time of admission and during form filling. Mentioned below are some of the important documents that should be kept in handy:

• Class 10 and 12 marksheet and passing certificate
• Copy of bachelor's degree (if applicable)
• Community certificate
• Migration certificate (if applicable)
• Four stamp-size photographs

SCl₂ – 2 lone pair of central atom

O₃ – 1 lone pair of central atom

ClF₃ – 2 lone pair of central atom

SF₆ – 0 lone pair of central atom

This is a Fill in the blanks Type Questions as classified in NCERT Exemplar

$\begin{array}{l}Give\mathrm{npoints}\\ Hence,thevalueofthefillerisgiven.\end{array}$

$\mathrm{u}=\frac{2\mathrm{z}+\mathrm{i}}{\mathrm{z}-\mathrm{k}\mathrm{i}}$

$=\frac{2x^2+(2y+1)(y-k)}{x^2+(y-k{)}^2}+i\frac{\left(x\right(2y+1)-2x(y-k\left)\right)}{x^2+(y-k{)}^2}$

Since $\mathrm{R}\mathrm{e}?\left(u\right)+\mathrm{I}\mathrm{m}?\left(u\right)=1$

$\Rightarrow 2{\mathrm{x}}^2+(2\mathrm{y}+1)(\mathrm{y}-\mathrm{k})+\mathrm{x}(2\mathrm{y}+1)-2\mathrm{x}(\mathrm{y}-\mathrm{k})={\mathrm{x}}^2+(\mathrm{y}-\mathrm{k}{)}^2$

$\begin{array}{c}\mathrm{P}\left(0,{\mathrm{y}}_1\right)\\ \mathrm{Q}\left(0,{\mathrm{y}}_2\right)\end{array}?\Rightarrow {\mathrm{y}}^2+\mathrm{y}-\mathrm{k}-{\mathrm{k}}^2=0?\begin{array}{c}{\mathrm{y}}_1+{\mathrm{y}}_2=-1\\ {\mathrm{y}}_1{\mathrm{y}}_2=-\mathrm{k}-{\mathrm{k}}^2\end{array}$

$?\mathrm{P}\mathrm{Q}=5$

$\Rightarrow \left|{\mathrm{y}}_1-{\mathrm{y}}_2\right|=5\Rightarrow {\mathrm{k}}^2+\mathrm{k}-6=0$

$\Rightarrow \mathrm{k}=-\mathrm{3,2}$

So, $k=2(k>0)$

On the official website of the KalaignarKarunanidhi Institute of Technology, the admission tab for the year 2026 is live. Thus, candidates can apply for the MBA course currently through the official website of the institute. However, before applying for the MBA course, candidates must ensure that they complete the basic eligibility criteria and follow the complete admission process step by step. 

Yes, the personal interview round is mandatory for admission in Raffles University. Candidates must appear for the interview which is conducted offline at the university. In addition to the PI round, candidates are also evaluated on the basis of a situation test which is also conducted offline at the campus.

K.S. Group of Institutions admissions are mainly entrance-based only. Students seeking to join the institute need to register and appear for the accepted entrance tests before applying for admissions at the institute. The institute accepts valid scores secured in state-level exams, such as KCET, KMAT, PGCET, etc., for admissions to its BTech, MBA, and M.Tech courses respectively. However, management quota seats are offered on the basis of valid scores secured in national-level tests, such as GATE, JEE Mains, NATA, etc. For more details, students may connect with the admission desk of the institute.

Yes, admissions to Raffles University are entrance-based. The university conducts its own situation test, results in which are considered for admission. Additionally, a personal interview round is also conducted at the university and clearing this is mandatory. Candidates must fulfil the eligibility criteria for applying for admission.

This is a Fill in the blanks Type Questions as classified in NCERT Exemplar

$\begin{array}{l}Threepairs.\\ Hence,thevalueofthefilleristhreepairs.\end{array}$

 $4LiN{O}_3\underset{\Delta }{\overset{}{\to }}2L{i}_{2}O+4N{O}_2+O_2$

$NaN{O}_3\underset{\Delta }{\overset{}{\to }}NaN{O}_2+\frac{1}{2}{O}_2$

The students who meet the eligibilty criteria can register and apply. CMJU BTech form can be filled in online mode on the official website as well. The steps to be followed for offline application submission are:

1. Go through the prospectus and then select the preferred course.
2. Fill out the admission form.
3. Attach copies of all qualification certificates and marksheets.
4. Send the completed application form along with four stamp-size photographs and demand draft of the first instalment fees to the address mentioned below.

CMJ University
Modrina Mansion
Laitumkhrah
Shillong-793 003
Meghalaya

Let TV (r) denotes truth value of a statement $r$ .

$\text{Now, if}TV\left(p\right)=TV\left(q\right)=T$

$\Rightarrow \mathrm{T}\mathrm{V}\left({\mathrm{S}}_1\right)=\mathrm{F}$

Also, if $TV\left(p\right)=T$ and $TV\left(q\right)=F$

$\Rightarrow \mathrm{T}\mathrm{V}\left({\mathrm{S}}_2\right)=\mathrm{T}$

This is a Fill in the blanks Type Questions as classified in NCERT Exemplar

$\begin{array}{l}ThethreeaxesOX,OYandOZ\text{\hspace{0.17em}determine}threecoordinateplanes.\\ Hence,thefillervalueisthreecoordinateplanes.\end{array}$

Yes, K.S. Group of Institutions admissions are currently open for various courses. Interested students can visit the official website of the institute to start the process by registering themselves. Before starting the process, candidates are advised to go through the admission criteria of the desired programme. As admissions are mainly entrance-based, students need to ensure that they carry the score card/ valid scores of the accepted exams.

KalaignarKarunanidhi Institute of Technology offers an MBA course as a postgraduate programme for the duration of two years. Further, it is divided into four semesters and offered in full-time mode. The institute offers MBA courses in various areas of specialsiations, such as Business Analytics, Logistics and Supply Chain Management, Tourism and Hospitality, Airline and Airport Management, Hospital Administration and Management, etc. 

$1+\left(1-2^2.1\right)+\left(1-4^2.3\right)+\dots \dots .+\left(1-{20}^2.19\right)$

$=\alpha -220\beta$

$=11-\left(2^2\cdot 1+4^2\cdot 3+\dots ..+{20}^2\cdot 19\right)$

$=11-2^2\cdot {\sum }_{r=1}^{10}?r^2(2r-1)=11-4\left(\frac{{110}^2}{2}-35\times 11\right)$

$=11-220\left(103\right)$

$\Rightarrow \alpha =11,\beta =103$

Following is the reaction of Zn with excess alkali,

$Zn+2NaOH+2H_{2}O\to N{a}_2{\left[Zn\left(OH\right)\right]}_4+H_2$

$N{a}_{2}Zn{O}_2+2H_{2}O$

$2N{a}^{+}Zn{O}_2^{--}$