Ask & Answer: India's Largest Education Community

You can see the full monthly IELTS test calendar on the official IDP IELTS India website and on the Shiksha study abroad website.

Academic is available almost every week, so 4 times a month. But General Training dates are less, usually only 2 times a month. So book your General seat quickly before it gets full.

This is a Short Answer Type Questions as classified in NCERT Exemplar
Sol:

$\begin{array}{l}Let\Delta =\left|\begin{array}{ccc}\hfill 3x\hfill & \hfill -x+y\hfill & \hfill -x+z\hfill \\ \hfill x-y\hfill & \hfill 3y\hfill & \hfill z-y\hfill \\ \hfill x-z\hfill & \hfill y-z\hfill & \hfill 3z\hfill \end{array}\right|\\ C_1\to C_1+C_2+C_3\\ =\left|\begin{array}{ccc}\hfill x+y+z\hfill & \hfill -x+y\hfill & \hfill -x+z\hfill \\ \hfill x+y+z\hfill & \hfill 3y\hfill & \hfill z-y\hfill \\ \hfill x+y+z\hfill & \hfill y-z\hfill & \hfill 3z\hfill \end{array}\right|\\ Taking\left(x+y+z\right)commonfrom{C}_1\\ =\left(x+y+z\right)\left|\begin{array}{ccc}\hfill 1\hfill & \hfill -x+y\hfill & \hfill -x+z\hfill \\ \hfill 1\hfill & \hfill 3y\hfill & \hfill z-y\hfill \\ \hfill 1\hfill & \hfill y-z\hfill & \hfill 3z\hfill \end{array}\right|\\ R_1\to R_1-R_2,R_2\to R_2-R_3\\ =\left(x+y+z\right)\left|\begin{array}{ccc}\hfill 0\hfill & \hfill -x-2y\hfill & \hfill -x+y\hfill \\ \hfill 0\hfill & \hfill 2y+z\hfill & \hfill -y-2z\hfill \\ \hfill 0\hfill & \hfill y-z\hfill & \hfill 3z\hfill \end{array}\right|\\ Expandingalong{C}_1=\left(x+y+z\right)\left[1\left|\begin{array}{cc}\hfill -x-2y\hfill & \hfill -x+y\hfill \\ \hfill 2y+z\hfill & \hfill -y-2z\hfill \end{array}\right|\right]\\ =\left(x+y+z\right)\left[\left(-x-2y\right)\left(-y-2z\right)-\left(2y+z\right)\left(-x+y\right)\right]\\ =\left(x+y+z\right)\left(xy+2zx+2y^2+4yz+2xy-2y^2+zx-zy\right)\\ =\left(x+y+z\right)\left(3xy+3zx+3yz\right)\\ =3\left(x+y+z\right)\left(xy+yz+zx\right)\end{array}$

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

no reversibility of lens maker formula is not possible.

In India, most IELTS tests are held on Thursdays and Saturdays. These are the regular days for both paper-based and computer-based exams. The computer based IELTS exam is conducted on almost every day. 

This is a Short Answer Type Questions as classified in NCERT Exemplar
Sol:

$\begin{array}{l}Let\Delta =\left|\begin{array}{ccc}\hfill 0\hfill & \hfill x{y}^2\hfill & \hfill x{z}^2\hfill \\ \hfill x^{2}y\hfill & \hfill 0\hfill & \hfill y{z}^2\hfill \\ \hfill x^{2}z\hfill & \hfill z{y}^2\hfill & \hfill 0\hfill \end{array}\right|\\ Takingx{,}^2{y}^{2}and{z}^{2}commonfrom{C}_1,C_{2}and{C}_{3}respectively\\ =x^2{y}^2{z}^2\left|\begin{array}{ccc}\hfill 0\hfill & \hfill x\hfill & \hfill x\hfill \\ \hfill y\hfill & \hfill 0\hfill & \hfill y\hfill \\ \hfill z\hfill & \hfill z\hfill & \hfill 0\hfill \end{array}\right|\\ Expandingalong{R}_1=x^2{y}^2{z}^2\left[0\left|\begin{array}{cc}\hfill 0\hfill & \hfill y\hfill \\ \hfill z\hfill & \hfill 0\hfill \end{array}\right|-x\left|\begin{array}{cc}\hfill y\hfill & \hfill y\hfill \\ \hfill z\hfill & \hfill 0\hfill \end{array}\right|+x\left|\begin{array}{cc}\hfill y\hfill & \hfill 0\hfill \\ \hfill z\hfill & \hfill z\hfill \end{array}\right|\right]\\ =x^2{y}^2{z}^2\left[-x\left(0-yz\right)+x\left(yz-0\right)\right]\\ =x^2{y}^2{z}^2\left(xyz+xyz\right)=x^2{y}^2{z}^2\left(2xyz\right)=2x^3{y}^3{z}^3\end{array}$

For BBA course admission, candidates must meet the eligibility criteria set by the institute. Aspirants should pass class 12. The admission criteria for the course is merit-based. A Bachelor of Business Administration in Aviation is an undergraduate 3-year degree that offers a blend of business management skills and specialised aviation knowledge, preparing graduates for a wide range of career opportunities in a growing and dynamic industry.

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

m=v/u = D/f

So m = 25/10 = 2.5= 0.025m

P= 1/0.025= 40D

This is the required power of lens.

This is a Short Answer Type Questions as classified in NCERT Exemplar
Sol:

$\begin{array}{l}Let\Delta =\left|\begin{array}{ccc}\hfill a+x\hfill & \hfill y\hfill & \hfill z\hfill \\ \hfill x\hfill & \hfill a+y\hfill & \hfill z\hfill \\ \hfill x\hfill & \hfill y\hfill & \hfill a+z\hfill \end{array}\right|\\ C_1\to C_1+C_2+C_3\\ =\left|\begin{array}{ccc}\hfill a+x+y+z\hfill & \hfill y\hfill & \hfill z\hfill \\ \hfill a+x+y+z\hfill & \hfill a+y\hfill & \hfill z\hfill \\ \hfill a+x+y+z\hfill & \hfill y\hfill & \hfill a+z\hfill \end{array}\right|=\left(a+x+y+z\right)\left|\begin{array}{ccc}\hfill 1\hfill & \hfill y\hfill & \hfill z\hfill \\ \hfill 1\hfill & \hfill a+y\hfill & \hfill z\hfill \\ \hfill 1\hfill & \hfill y\hfill & \hfill a+z\hfill \end{array}\right|\\ \left(Takinga+x+y+zcommon\right)\\ R_1\to R_1-R_2,R_2\to R_2-R_3\\ =\left(a+x+y+z\right)\left|\begin{array}{ccc}\hfill 0\hfill & \hfill -a\hfill & \hfill 0\hfill \\ \hfill 0\hfill & \hfill a\hfill & \hfill -a\hfill \\ \hfill 1\hfill & \hfill y\hfill & \hfill a+z\hfill \end{array}\right|\\ Expandingalong{C}_1=\left(a+x+y+z\right)\left|1\left(a^2-0\right)\right|=a^2\left(a+x+y+z\right)\end{array}$

Diploma in Aviation, Hospitality and Travel Management (AHTM) is a vocational course that is created to train individuals for careers in aviation, hospitality and travel industries. It covers various aspects such as airport operations, passenger handling, ticketing, in-flight services, hospitality management and travel coordination.

The course aims to equip students with the necessary skills and knowledge for various roles within these sectors, including ground staff, cabin crew, and hospitality professionals. 

For admission to the BBA course at Tritya Air Hostess Academy, students need to fulfil the minimum eligibility criteria in the first place. The selection criteria for this course is merit-based and candidates must pass Class 12. The duration of the course is three years.

This is a Short Answer Type Questions as classified in NCERT Exemplar
Sol:

$\begin{array}{l}Let\Delta =\left|\begin{array}{cc}\hfill x^2-x+1\hfill & \hfill x-1\hfill \\ \hfill x+1\hfill & \hfill x+1\hfill \end{array}\right|\\ C_1\to C_1-C_2\\ =\left|\begin{array}{cc}\hfill x^2-2x+2\hfill & \hfill x-1\hfill \\ \hfill 0\hfill & \hfill x+1\hfill \end{array}\right|\\ =\left(x+1\right)\left(x^2-2x+2\right)-0\\ =x^3-2x^2+2x+x^2-2x+2=x^3-x^2+2\end{array}$

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

Explanation- (i) Here it is given that, an electron absorbs 2 photons each of frequency ν then ν where, v′ is the frequency of emitted electron.

Given, E_max= hv- ${?}_0$

Now, maximum energy for emitted electrons is E_max= h2v- ${?}_0=2\mathrm{h}\mathrm{v}-{?}_0$

(ii) The probability of absorbing 2 photons by the same electron is very low. Hence, such emission will be negligible

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

As the refractive index for red is less than that for blue, parallel beams of light incident on a lens will be bent more towards the axis for blue light compared to red.

By lens makers formula 1/f= $(\mu -1)(\frac{1}{R_1}-\frac{1}{R_2})$

So f_br so focal length of blue is less than red light 

To get into Tritya Air Hostess Academy for BBA course, candidates must meet the eligibility criteria set by the institute. Students must pass Class 12. Tritya Air Hostess Academy offers BBA courses of three years' duration. Students can get into this course based on merit.

This is a Long Answer Type Questions as classified in NCERT Exemplar

Sol:

$\begin{array}{l}L.H.S.\\ Let\Delta =\left|\begin{array}{ccc}\hfill xa\hfill & \hfill yb\hfill & \hfill zc\hfill \\ \hfill yc\hfill & \hfill za\hfill & \hfill xb\hfill \\ \hfill zb\hfill & \hfill xc\hfill & \hfill ya\hfill \end{array}\right|\\ Expandingalong{R}_1\\ \Rightarrow xa\left|\begin{array}{cc}\hfill za\hfill & \hfill xb\hfill \\ \hfill xc\hfill & \hfill ya\hfill \end{array}\right|-yb\left|\begin{array}{cc}\hfill yc\hfill & \hfill xb\hfill \\ \hfill zb\hfill & \hfill ya\hfill \end{array}\right|+zc\left|\begin{array}{cc}\hfill yc\hfill & \hfill za\hfill \\ \hfill zb\hfill & \hfill xc\hfill \end{array}\right|\\ \Rightarrow xa\left(yz{a}^2-x^{2}bc\right)-yb\left(y^{2}ac-xz{b}^2\right)+zc\left(xy{c}^2-z^{2}ab\right)\\ \Rightarrow xyz{a}^3-x^{3}abc-y^{3}abc+xyz{b}^3+xyz{c}^3-z^{3}abc\\ \Rightarrow xyz\left(a^3+b^3+c^3\right)-abc\left(x^3+y^3+z^3\right)\\ \Rightarrow xyz\left(a^3+b^3+c^3\right)-abc\left(3xyz\right)\left[?\left(x+y+z=0\right)\left(\therefore x^3+y^3+z^3=3xyz\right)\right]\\ \Rightarrow xyz\left(a^3+b^3+c^3-3abc\right)\\ R.H.S.xyz\left|\begin{array}{ccc}\hfill a\hfill & \hfill b\hfill & \hfill c\hfill \\ \hfill c\hfill & \hfill a\hfill & \hfill b\hfill \\ \hfill b\hfill & \hfill c\hfill & \hfill a\hfill \end{array}\right|\\ R_1\to R_1+R_2+R_3\\ \Rightarrow xyz\left|\begin{array}{ccc}\hfill a+b+c\hfill & \hfill a+b+c\hfill & \hfill a+b+c\hfill \\ \hfill c\hfill & \hfill a\hfill & \hfill b\hfill \\ \hfill b\hfill & \hfill c\hfill & \hfill a\hfill \end{array}\right|\\ \Rightarrow xyz\left(a+b+c\right)\left|\begin{array}{ccc}\hfill 1\hfill & \hfill 1\hfill & \hfill 1\hfill \\ \hfill c\hfill & \hfill a\hfill & \hfill b\hfill \\ \hfill b\hfill & \hfill c\hfill & \hfill a\hfill \end{array}\right|\left(a+b+ccommonfrom{R}_1\right)\\ C_1\to C_1-C_{2}and{C}_2\to C_2-C_3\\ \Rightarrow xyz\left(a+b+c\right)\left|\begin{array}{ccc}\hfill 0\hfill & \hfill 0\hfill & \hfill 1\hfill \\ \hfill c-a\hfill & \hfill a-b\hfill & \hfill b\hfill \\ \hfill b-c\hfill & \hfill c-a\hfill & \hfill a\hfill \end{array}\right|\\ Expandingalong{R}_1\\ \Rightarrow xyz\left(a+b+c\right)\left[1\left|\begin{array}{cc}\hfill c-a\hfill & \hfill a-b\hfill \\ \hfill b-c\hfill & \hfill c-a\hfill \end{array}\right|\right]\\ \Rightarrow xyz\left(a+b+c\right)\left[{\left(c-a\right)}^2-\left(b-c\right)\left(a-b\right)\right]\\ \Rightarrow xyz\left(a+b+c\right)\left(c^2+a^2-2ca-ab+b^2+ac-bc\right)\\ \Rightarrow xyz\left(a+b+c\right)\left(a^2+b^2+c^2-ab-bc-ca\right)\\ \Rightarrow xyz\left(a^3+b^3+c^3-3abc\right)\left[a^3+b^3+c^3-3abc=\left(a+b+c\right)\left(a^2+b^2+c^2-ab-bc-ca\right)\right]\\ L.H.S.=R.H.S.\\ Hence,proved.\end{array}$