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Composition is the key aspect of any language. It is important, especially in literary writings, education, and communication. Composition is crucial for sending out the thoughts and ideas clearly and coherently. People can use composition to communicate ideas, emotions, thoughts, opinions, debate, inform, etc. 

This is a multiple choice answer as classified in NCERT Exemplar

(b), (d) T_x=T_y when x and y are in thermal equilibrium.

T_{x $\ne$} T_Z when x and z are not in thermal equilibrium.

T_{y $\ne$} T_Z

Hence y and z are not In thermal equilibrium.

Given T_{x $\ne$} T_y

And T_{x $\ne$} T_Z

We cannot say about equilibrium of y and z.

They may or may not in thermal equilibrium

$\begin{array}{l}\begin{array}{l}ta{n}^{3}2xsec 2x= ta{n}^{2}2xtan 2xsec 2x\hfill \end{array}\end{array}$

$\begin{array}{l}\begin{array}{l} \{se{c}^2(2x)-1\} tan 2xsec 2x\hfill \end{array}\end{array}$

$\begin{array}{l}\begin{array}{l}= se{c}^{2}2xtan 2xsec 2x\hfill \end{array}\end{array}$

$\begin{array}{l}\begin{array}{l}-tan 2xsec 2x\hfill \end{array}\end{array}$

$\begin{array}{l}\begin{array}{l}I ={\displaystyle \int ta{n}^3}2x.sec 2x dx\hfill \end{array}\end{array}$

$\begin{array}{l}\begin{array}{l}={\displaystyle \int ta{n}^2}2xtan 2xsec 2x dx-{\displaystyle \int tan}2x.sec 2x dx\hfill \end{array}\\ ={\displaystyle \int ta{n}^2}2xtan2xsec2xdx-\frac{sec2x}{2}+\\ \begin{array}{l}Put sec 2x=t\hfill \end{array}\end{array}$

$\begin{array}{l}\begin{array}{l}\Rightarrow 2sec 2xtan 2x dx=dt\hfill \end{array}\end{array}$

$\begin{array}{l}\begin{array}{l}I={{\displaystyle \int tan}}^{3}2x.sec 2x dx\hfill \end{array}\\ =\frac{1}{2}{\displaystyle \int t^2}dt-\frac{sec2x}{2}+\; C\\ =\frac{t^3}{6}-\frac{sec2x}{2}+\; C\\ =\frac{{(sec2x)}^3}{6}-\frac{sec2x}{2}+\; C\end{array}$

The admission process at Ishan Institute of Pharmacy is based on entrance exam as per the course requirement. Candidates looking for course admission must meet the eligibility criteria set by the college. Aspirants must pass class 12 or an equivalent examination without any grace from a recognised Board of Secondary Education with minimum of 50% aggregate either in PCB or PCM.

Yes, admission dates are already out for MSc course at IISER Tirupati. The MSc course dates is inclusive of IISER Entrance Exam Dates 2025. IISER Entrance Exam 2025 was conducted on May 25, 2025, to test candidate's domain knowledge for the courses offered by IISERs. Interested applicants will be able to fill out the IISER 2025 application form from March 3, 2025 onwards.

This is a Multiple Choice Questions as classified in NCERT Exemplar

Answer- (a)

Explanation- when a positive point charge is brought near an isolated conducting sphere without touching the sphere, then the free electron in the sphere are attracted towards the positive charge. This leaves an excess positive charge on right side of sphere . And also by induction the negative charge is setup across left side. So field lines first goes from positive charge (+q) to negative charge of sphere then from positive charge of sphere to negative charge anywhere in the universe.

$\begin{array}{l}\frac{cosx-sinx}{1+sin2x}=\frac{cosx-sinx}{\left(si{n}^{2}x+co{s}^{2}x\right)+2sinxcosx}\\ =\frac{cosx-sinx}{{(sinx+cosx)}^2}\\ \left[?si{n}^2+co{s}^2=1\&sin2x=2sinxcosx\right]\\ I={\displaystyle \int \frac{cosx-sinx}{1+sin2x}}dx={\displaystyle \int \frac{cosx-sinx}{{(sinx+cosx)}^2}dx}\\ \begin{array}{l}Put sinx+ cosx=t\hfill \end{array}\end{array}$

$\begin{array}{l}\begin{array}{l}(cosx-sinx)dx=dt\hfill \end{array}\\ ={\displaystyle \int \frac{dt}{t^2}}={\displaystyle \int t^{-2}}dt\\ =-t^{-1}+=-\frac{1}{t}+\; c\\ =\frac{1}{-sinx+cosx}+\; c\end{array}$

To get admission into the BCA course at Shikshapeeth College of Management and Technology, candidates are required to complete Class 12 with decent scores. Moreover, for the selection process, the college releases the merit list of selected candidates on the basis of applicants' scores in Class 12/ higher senior secondary, followed by group discussion/ personal interview. The college also accepts entrance-based admission too. Additionally, the provision of direct admissions to the BCA course is not explicitly mentioned on the official website of the college. 

This is a multiple choice answer as classified in NCERT Exemplar

(c) density = mass/volume as density is same so volume is also same.

According to Stefan’s law H $\propto$ AT⁴  where A is the area and T is the temperature

H_sphere:H_cube:H_plate= A_sphere:A_cube:A_plate

As A_plate is maximum.

Hence the plate will cool the fastest.

Once selected, candidates must confirm their admission by paying the first semester's tuition fee within the deadline. They also need to submit all necessary documents like mark sheets and ID proofs. Admission is confirmed only after successful fee payment and document verification.

$\begin{array}{l}=4cos\left(\frac{x+\propto }{2}\right)cos\left(\frac{x-\propto }{2}\right)\\ =2[cos\left(\frac{x+\propto }{2}+\frac{x-\propto }{2}\right)+cos\left(\frac{x-\propto }{2}-\frac{x-\propto }{2}\right)\\ \begin{array}{ll}= 2[cos\left(x\right) + cos\propto ]\hfill & \begin{array}{l}=2cosx+2cos\propto \\ ={\displaystyle \int \frac{cos2x-cos2\propto }{cosx-cos\propto }}dx\\ \begin{array}{l}={\displaystyle \int (2cosx+2cos\propto )}dx\hfill \end{array}\end{array}\hfill \end{array}\end{array}$

$\begin{array}{l}\begin{array}{l}\begin{array}{l}\begin{array}{l}= 2[sinx+xcos\propto ] + C\hfill \end{array}\end{array}\hfill \end{array}\end{array}$

This is a Multiple Choice Questions as classified in NCERT Exemplar

Answer.   (a)

Explanation-The force between (q1, q2) and (q1, q3) is must be attractive to net forces act in positive direction of x . so q1 must be negative. But if we place a positive charge Q in positive direction of x then it must be attractive towards along x-axis. So it will be attractive towards positive x axis. 

Selection for the BCom programme is based on the candidate's CUET UG exam score and Class 12 academic performance. After the CUET results are announced, shortlisted candidates may be called for a personal or telephonic interview, and the final admission decision is made based on all these factors.

$\frac{2^{}x}{1+cosx}=\frac{{\left(2sin\frac{x}{2}\cdot cos\frac{x}{2}\right)}^2}{2co{s}^2\frac{x}{2}}$

$\begin{array}{l}=\frac{4si{n}^2\frac{x}{2}co{s}^2\frac{x}{2}}{2co{s}^2\frac{x}{2}}=\frac{2si{n}^2\frac{x}{2}}{2}\\ =1-cosx\\ ={\displaystyle \int \frac{si{n}^{2}x}{1+cosx}}dx\\ ={\displaystyle \int (1-cosx)}dx\\ =x-sinx+C\end{array}$

To apply for the BCom programme, visit the official Amity University Noida website and fill out the online application form. Register as a new user, complete the form with your details, upload the required documents, pay the application fee of INR 1,500, and submit the form.

After completing the Sewa Community College Andheri BBA course, students gain theoretical and practical knowledge of different domains of Management. Upon graduating from this course, students can expect to get recruited for entry-level jobs. Fresh BBA graduates generally get a salary ranging from INR 3 to 4 LPA. Tabulated below are a few career options to pursue after BBA and the respective average salary offered in India:

Note: The average salary has been taken from Ambitionbox.com.

There is no specific format or structure for English Composition writing. However, typically compositions follow the same structure as that of an essay. It has an intro, a body which includes the supporting paragraphs and then a conclusion which reiterates each point made across the composition.