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Common grandchild of M6 and M8 is D

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The top private MBA colleges in Hyderabad, according to the list released by the NIRF for the year 2025, are given in the table below: 

Disclaimer: This information is sourced from the official website and may vary.

$\frac{sinA}{sinB}=\frac{sin\left(A-C\right)}{sin\left(C-B\right)}$

sin A sin C cos B – sin A cos C sin B = sin B sin A cos C – sin B cos A sin C

2 sin A sin B cos C = sin A sin C cos B + sin B sin C cos A

By sine rule $\frac{sinA}{a}=\frac{sinB}{b}=\frac{sinC}{c}=k$

$2.ak.bk.\frac{\left(a^2+b^2-c^2\right)}{2ab}=ak.ck.\frac{\left(c^2+a^2-b^2\right)}{2ac}+bk.ck.\frac{\left(b^2+c^2-a^2\right)}{2bc}$

$\Rightarrow b^2,c^2,a^{2}areinA.P.$

There are 3 top private MBA colleges in Hyderabad. Students can get admitted to these colleges based on the scores of the CAT, MAT, XAT, CMAT, ATMA, etc., entrance examinations.

MIT School of Distance Education follows a fee refund policy in case of cancellation of admission. No fee is refunded in case admission is cancelled due to submission of false or misleading information, forged documents, concealment of facts, or any misrepresentation by the student. Below is the fee refund policy followed at MITSDE:

Please find the answer below

Locus of point of intersection of perpendicular tangent will be its director circle & director circle of parabola be its directrix.

Given parabola y² = 16 (x – 3) so equation of directrix be x – 3 = - 4 i.e., x + 1 = 0

The basic unit of energy is a Joule (J), which is equal to one watt of power expended for one second. In the day-to-day scenarios such as household electricity consumption, joule is too small a unit to be convenient. For billing and metering purpose, it is measured in kilowatt-hours (kWh). Electrical energy is measured in kilowatt-hours (kWh) as the commercial unit. 1kWh = 1000 W * 3600 s 

For calculating the units consumed, we will be using the following formula 

Units = [Power (W) x Time (h)]/1000

The Bihar BEd. CET exam is conducted by Lalit Narayan Mithila University (LNMU). The exam centers are determined by LNMU and will be specified on the admit cards, according to the university's website. The Bihar BEd CET (Common Entrance Test) exam is conducted in 11 cities across Bihar (Patna, Muzaffarpur, Gaya, Darbhanga, Bhagalpur, Purnea, Ara, Chapra, Munger, Begusarai, and Rosera).

Yes, an average student can get into Primus B School, Bangalore with the right amount of preparation and strategy. Students are admitted based on their academic merit/ entrance exam scores (as per the course's requirements) + application interview/ GDPI rounds conducted by the institute. Students seeking to join the institute are advised to go through the admission criteria of the desired programme and proceed accordingly.

Yes, a candidate can apply for admission in State Institute of Hotel Management (SIHM), Durgapur,  if Class 12 results are pending. The institute may provide them provisional admission, and they can appear for the NCHMCT JEE exam. However, for admission confirmation marksheets are required.

Let square is made with piece of length x metre & hexagon with piece of length y metre

x + y = 20 .(i)

$a=\frac{x}{4}\&b=\frac{y}{6}$       

Now let A = area of square + area of hexagon

$A=\frac{x^2}{16}+6\times \frac{\sqrt[]{3}}{4}\times \frac{y^2}{36}=\frac{x^2}{16}+\frac{\sqrt[]{3}{y}^2}{24}=\frac{x^2}{16}+\frac{\sqrt[]{3}}{24}{\left(20-x\right)}^{2}from\left(i\right)$ ,

for minimum area

$x=\frac{80\sqrt[]{3}}{6+4\sqrt[]{3}}=\frac{80\sqrt[]{3}}{2\sqrt[]{3}\left(\sqrt[]{3}+2\right)}=\frac{40}{2+\sqrt[]{3}}$

$x=40\left(2-\sqrt[]{3}\right)$

=> side of hexagon = $\frac{y}{6}=\frac{20\sqrt[]{3}\left(2-\sqrt[]{3}\right)}{6}=\frac{20\sqrt[]{3}}{6\left(2+\sqrt[]{3}\right)}=\frac{10\sqrt[]{3}}{3\left(2+\sqrt[]{3}\right)}=\frac{10}{2\sqrt[]{3}+3}$

$y\left(x\right)=co{t}^{-1}\left(\frac{\sqrt[]{1+sinx}+\sqrt[]{1-sinx}}{\sqrt[]{1+sinx}-\sqrt[]{1-sinx}}\right),x\in \left(\frac{\pi }{2},\pi \right)$

$=co{t}^{-1}\left(\frac{sin\frac{x}{2}+cos\frac{x}{2}+sin\frac{x}{2}-cos\frac{x}{2}}{sin\frac{x}{2}+cos\frac{x}{2}-sin\frac{x}{2}+cos\frac{x}{2}}\right)=co{t}^{-1}tan\frac{x}{2}=co{t}^{-1}cot\left(\frac{\pi }{2}-\frac{\pi }{2}\right)=\frac{\pi }{2}-\frac{x}{2}$

$\frac{dy}{dx}=\frac{-1}{2}$

UAS Bangalore offers an array of specialisations under its BTech programme. Listed below are all the BTech courses offered by the university for students to choose from:

• BTech in Biotechnology 
• BTech in Food Technology
• BTech in Agricultural Engineering

Assertion (A) is correct & Reason (R) is incorrect

→character decreases from left to right & non metallic character increases from left to night

→I.E. increases & electron gain enthalpy also increases from left to right.

Yes, MIT School of Distance Education offers two-year full-time PG Diploma course in online mode. The school offers PG Diploma in Project Management, Human Resource, Operations, Finance, Finance, etc. Candidates who have completed graduation from a recognised institute of university can apply for this course.  

$\left|A\right|=\left|\begin{array}{ccc}\hfill \left[x+1\right]\hfill & \hfill \left[x+2\right]\hfill & \hfill \left[x+3\right]\hfill \\ \hfill \left[x\right]\hfill & \hfill \left[x+3\right]\hfill & \hfill \left[x+3\right]\hfill \\ \hfill \left[x\right]\hfill & \hfill \left[x+2\right]\hfill & \hfill \left[x+4\right]\hfill \end{array}\right|=\left|\begin{array}{ccc}\hfill \left[x\right]+1\hfill & \hfill \left[x\right]+2\hfill & \hfill \left[x\right]+3\hfill \\ \hfill \left[x\right]\hfill & \hfill \left[x\right]+3\hfill & \hfill \left[x\right]+3\hfill \\ \hfill \left[x\right]\hfill & \hfill \left[x\right]+2\hfill & \hfill \left[x\right]+4\hfill \end{array}\right|$

$R_1\to R_1-R_3\&R_2\to R_2-R_3$

$\left|\begin{array}{ccc}\hfill 1\hfill & \hfill 0\hfill & \hfill -1\hfill \\ \hfill 0\hfill & \hfill 1\hfill & \hfill -1\hfill \\ \hfill \left[x\right]\hfill & \hfill \left[x\right]+2\hfill & \hfill \left[x\right]+4\hfill \end{array}\right|=192$

$\Rightarrow \left[x\right]=62$

$\Rightarrow x\in [62,63)$              

Yes, UAS Bangalore offers a BTech programme. Under this programme, students get to choose from various specialisations, including Food Science & Technology, Biotechnology, and more. Mentioned below are the key highlights of this programme:

• Mode: Regular
• Duration: Four years
• Accepted exam: KCET (few seats are offered via ICAR AIEEA)
• Fees: INR 1.1 lakh