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This is a Objective Type Question as classified in NCERT Exemplar

Sol: 

$\begin{array}{l}Here,A=\left\{1,2,3\right\}\\ Thenumberofequivalencerelationsareasfollows:\\ {{\displaystyle R}}_1=\left\{\left(1,1\right),\left(1,2\right),\left(2,1\right),\left(2,3\right),\left(1,3\right)\right\}\\ {{\displaystyle R}}_2=\left\{\left(2,2\right),\left(1,3\right),\left(3,1\right),\left(3,2\right),\left(1,2\right)\right\}\\ {{\displaystyle R}}_3=\left\{\left(3,3\right),\left(1,2\right),\left(2,3\right),\left(1,3\right),\left(3,2\right)\right\}\\ Hence,correctansweris(d)\end{array}$

This is a assertion and reason answer type question as classified in NCERT Exemplar

Correct option is (i)Here,  the S atom is surrounded by 6F atoms,  so it's complected for H₂O to attack SF₆,  but in case of SF₄,  it's surrounded by 4F atoms,  so it's to attack H₂O.

In addition to the tuition fees of an M.Tech programme at VMSB UTU, there may also be extra one-time fee incurred, such as the application fee, security deposit, and miscellaneous fees. Candidates can refer to following table for more information:

NOTE: The mentioned fee is taken from the official website/sanctioning body. It is still subject to change and, hence, is indicative.

This is a assertion and reason answer type question as classified in NCERT Exemplar

Correct option is (i)

When NaCl reacts with concentrated H₂SO₄,  it produces colourless fumes with a pungent smell,  but when MnO₂ is added, the fumes turn greenish yellow. MnO₂ oxidizes HCl to chlorine gas,  which then turns greenish yellow.

This is a Objective Type Question as classified in NCERT Exemplar

Sol:

$\begin{array}{l}Here,aRb\Rightarrow aisabrotherofb.\\ aRa\Rightarrow aisabrotherofawhichisnottrue.\\ So,Risnotreflexive.\\ aRb\Rightarrow aisabrotherofb.\\ bRa\Rightarrow whichisnottruebecausebmaybesisterofa.\\ \Rightarrow aRb\ne bRa\\ So,Risnotsymmetric.\\ Now,aRb,bRc\Rightarrow aRc\\ \Rightarrow aisthebrotherofbandbisthebrotherofc.\\ \therefore aisalsothebrotherofc.\end{array}$

The candidates have to submit the important documents during form filling and admission. These documents are required by the university to verify the candidate details. It helps the university in verifying that the applicants are eligible for admission. Some of the applications to be submitted with the Sant Baba Bhag Singh University MBA admissions are:

• Class 10 and Class 12 mark sheet
• Bachelor's degree and pass certificates
• Aadhaar card 
• Migration certificate
• Character certificate
• Category certificate (if applicable), etc.

This is a assertion and reason answer type question as classified in NCERT Exemplar

Correct option is (i)

The rhombic and the monoclinic forms of sulphur exist as S8 . Oxygen forms a p\pi   -  p\pi  multiple bond due to its small size and short bond length,  but Pπ- Pπ bonding is not possible because of sulphur's larger atomic size.

This is a Objective Type Question as classified in NCERT Exemplar

Sol:$\begin{array}{l}\end{array}$

$\begin{array}{l}Ifa=b\forall a,b\in T\\ thenaRa\Rightarrow a\cong awhichistrueforalla\in T\\ So,Risreflexive\\ Now,aRbandbRa.\\ i.e.,a\cong bandb\cong awhichistrueforalla\in T\\ Rissymmetric.\\ LetaRbandbRc.\\ \Rightarrow a\cong bandb\cong a\Rightarrow a\cong c\forall a,b,c\in T\\ So,Ristransitive.\\ Hence,Risequivalencerelation.\\ So,thecorrectansweris(c).\end{array}$

Veer Madho Singh Bhandari Uttarakhand Technical University (VMSB UTU) and DBS Global University are compared on the basis of M.Tech tuition fees. VMSB UTU is recommended as a cost-effective choice for pursuing a M.Tech course. Meanwhile, the M.Tech tuition fee at VMSB UTU ranges from INR 70,800 to INR 2.3 lakh, compared to the M.Tech tuition fee for DBS Global University ranges of INR 2.1 Lacs to INR 10.2 lakh. However, the mentioned fee is taken from the official website/sanctioning body. It is still subject to change and, hence, is indicative.

This is a assertion and reason answer type question as classified in NCERT Exemplar

Correct option is (ii)

Because H₂SO₄ is a stronger oxidising agent and HI is a stronger reducing agent,  H₂SO₄ oxidizes and is reduced to SO₂.

This is a Short Answer Type Question as classified in NCERT Exemplar

Sol:$\begin{array}{l}\begin{array}{l}\begin{array}{l}\begin{array}{l}\hfill \end{array}\end{array}\hfill \end{array}\end{array}$

This is a assertion and reason answer type question as classified in NCERT Exemplar

Correct option is (iii)

HNO₃ forms an oxide layer on the surface of iron. This is also known as corrosion or rusting.

This is a Short Answer Type Question as classified in NCERT Exemplar

Sol:

$\begin{array}{l}f(x)\frac{1}{2-cosx},\forall x\in R\\ Rangeofcosxis[-1,1]\\ Letf(x)=y=\frac{1}{2-cosx}\\ \Rightarrow 2y-ycosx=1\Rightarrow ycosx=2y-1\\ \Rightarrow cosx=\frac{2y-1}{y}=2-\frac{1}{y}\\ Now-1\le cosx\le 1\\ \Rightarrow -1\le 2-\frac{1}{y}\le 1\Rightarrow -1-2\le -\frac{1}{y}\le 1-2\\ \Rightarrow -3\le -\frac{1}{y}\le -1\Rightarrow 3\ge \frac{1}{y}\ge 1\Rightarrow \frac{1}{3}\le y\le 1\\ \therefore therangeoff=\left[\frac{1}{3},1\right].\end{array}$

This is a assertion and reason answer type question as classified in NCERT Exemplar

Correct option is (iii)

Nitrogen gas has a complete octet structure for both atoms and is unreactive due to the presence of a strong triple bond. On the other hand,  phosphor has bonds with unstable angles strains compared to nitrogen,  therefore it burns quickly,  thus readily reacts. Nitrogen has a lower electron gain enthalpy than phosphorus.

PCSTI has collaborated with various companies and organisations. The college has signed MoUs with various industries and colleges. The below-mentioned are the PCSTI collaborations:

This is a Short Answer Type Question as classified in NCERT Exemplar

Sol:

$\begin{array}{}\end{array}Let{x}_1,x_2\in gof$

$gof\{f(x_1)\}=gof\{f(x_2)\}$

$\Rightarrow g(x_1)=g(x_2)\begin{array}{l} \end{array}$

$\therefore$
$\begin{array}{l}{x}_1 =x_2\\ \end{array}$

$\begin{array}{l}Hence,fisone-oneandgisonto.\end{array}$