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Maths NCERT Exemplar Solutions Class 11th Chapter Two Three Dimensional Geometry

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2 months ago

Angle between line joining two vertices of a regular tetrahedron to centroid is:

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Raj Pandey

Contributor-Level 9

$\overline{a} + \overline{b} + \overline{c} + \overline{d} = 0$

Magnitude of all vectors will be same as well as angle between these vectors will also be same. $\overline{a} + \overline{b} + \overline{c} = - \overline{d}$

$\begin{matrix} | \overline{a} |^{2} + | \overline{b} |^{2} + | \overline{c} |^{2} + 2 \overline{a} \cdot \overline{b} + 2 \overline{b} \cdot \overline{c} + 2 \overline{c} \cdot \overline{a} = | d |^{2} \\ 1 + 1 + 1 + 2 c o s ? α + 2 c o s ? α + 2 c o s ? α = 1 \\ 6 c o s ? α = - 2 \\ c o s ? α = - \frac{1}{3} \\ α = {c o s}^{- 1} ? (\frac{- 1}{3}) = π - {c o s}^{- 1} ? \frac{1}{3} \end{matrix}$

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2 months ago

BBA BBA in Chandigarh

What are the placement status for BBA in Chandigarh University?

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Vihana Thakur

Contributor-Level 6

Its great

The BBA programme at Chandigarh University benefits a lot from the DCPD department, which ensures students are prepared for corporate life. The team organizes company visits, on-campus drives, and industry interactions to connect students with recruiters. Top companies like Amazon, Flipkart, Deloitte, IBM, and MindTree often hire BBA graduates for roles in marketing, analytics, operations, and HR. The placement process emphasizes practical learning, soft skills, and confidence-building, which helps students perform well in interviews. For international and Indian students alike, the campus provides a supportive environment, an

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Engineering Entrance Exam Engineering

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2 months ago

When is the SRMJEEE exam?

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Vikrant Shukla

Contributor-Level 10

SRMJEEE is conducted across multiple phases. Last year, it was held in 3 phases. While filling the online application, students can fill in their details and select their preferred slot.

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2 months ago

I'm planning to join BBA in Chandigarh university. I am from Nepal. Should I join it? I'm confused as hell.

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Gungun

Beginner-Level 4

At Chandigarh University, selecting the right branch is about balancing interest with future scope. This university provides numerous options like Data Science, Cybersecurity, Electronics, or Cloud Computing, each designed with modern technologies and industry collaborations. While popularity and placement trends are important, the hands-on experience and internships offered in each branch can guide your decision.

For instance, CSE or IT with specializations in AI or Big Data opens doors to top tech companies, while Electrical or Mechanical branches are ideal for manufacturing or design roles. Students are encouraged to explore wo

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Physics Mechanical Properties of Fluids Mechanical Properties of Fluids

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2 months ago

Two blocks of masses 3kg and 5kg are connected by a metal wire going over a smooth pulley. The breaking stress of the metal is $\frac{24}{π} \times 1 0^{2} N m^{- 2} .$ What is the minimum radius of the wire? (take g = 10ms^-2)

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Complex Numbers and Quadratic Equations Maths

Contributor-Level 10

Tension in wire, $T = \frac{2 \times 3 \times 5 \times 10}{3 + 5} = \frac{75}{2} N$

$\frac{T}{π r_{m i n}^{2}} = \frac{24}{π} \times 1 0^{2}$

$\Rightarrow r_{m i n}^{2} = \frac{75}{2 \times 24} \times 1 0^{- 2} = \frac{25}{16} \times 1 0^{- 2}$
$\Rightarrow r_{m i n} = \frac{5}{4} \times 1 0^{- 1} m = 12.5 c m$

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2 months ago

The modulus of the complex number z such that $| z + 3 - i |$ = 1 and arg(z) = p is equal to

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alok kumar singh

Contributor-Level 10

$? a r g (z) = π i f z = x + i y$

$∴ y = 0 a n d x < 0$

$∴ z = - 3 + i . 0 \Rightarrow | z | = 3$

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2 months ago

Rate of Change of Quantities Maths Applications of Derivatives

If the surface area of a cube is increasing at a rate of 4.8cm²/sec. retaining its shape, then the rate of change of its volume (in cm³/sec.) when the length of a side of the cube is 15 cm is:

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Raj Pandey

Contributor-Level 9

TSA of cube $= 6 a^{2}$

$\frac{d}{d t} (6 a^{2}) = 4.8; 12 a \frac{d a}{d t} = 4.8; a \frac{d a}{d t} = 0.4; \frac{d v}{d t} = \frac{d}{d t} (a^{3}) \Rightarrow 3 a (a \frac{d a}{d t})$

$3 \times 15 \times 0.4 = 3 \times 15 \times \frac{04}{10} \Rightarrow 18$

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2 months ago

Exam Engineering Entrance Exam

Is the GATE 2026 application form fees revised?

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UPASANA PRADHAN

Contributor-Level 10

Yes, the GATE 2026 application form fees have been revised. The registration fee is increased for both timelines: regular and extended. Candidates are advised to check the fee carefully along with their category before paying. The registration last date is September 28 (without late fees) and October 9 (with late fees).

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2 months ago

Photoelectric Emission Physics

In a photoelectric experiment, increasing the intensity of incident light:

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Contributor-Level 10

Intersity a number of photons kinetic Energy a f

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2 months ago

How is Chandigarh University for a programme BBA in business analytics?

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Parul Parihar

Contributor-Level 6

For anyone interested in Business Analytics, Chandigarh University is a solid choice. The BBA programme combines business knowledge with data analytics, giving you a strong foundation for roles like Data Analyst, Business Analyst, or Analytics Consultant. CU also emphasizes industry tie-ups, which means students get exposure to real-world business problems and internships. The placement support is good, with companies actively recruiting BBA Business Analytics students. Even if you are unsure about the specific job role, the skills you gain, like interpreting data, creating reports, and understanding business trends—can help you in m

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2 months ago

What are the different specializations offered under the BBA programme at Chandigarh University? Which one is right for me?

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Kiran Gupta

Beginner-Level 4

Chandigarh University offers a wide variety of BBA specializations to match different career interests. You can choose from Marketing, Banking and Finance, Fintech with KPMG, Healthcare Management, Human Resource Management, Family Managed Business, Tourism & Event Management, Forex Management, Business Analytics, Digital Marketing, Logistics & Supply Chain, and Strategic HR. Some programs are also industry-collaborated, like BBA Business Analytics with SAS or BBA Fintech with KPMG, which give practical exposure and certifications that help during placements.

To choose the right one, think about what excites you the most. If you enjoy w

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I completed my BBA from Chandigarh University! What should I do now a job or business?

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2 months ago

Probability Maths

A bag contains 2 white and 4 black balls. A ball is drawn 5 times, each being replaced before another is drawn. The probability that atleast 4 of the balls drawn are white is:

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alok kumar singh

Contributor-Level 10

P(W) = $\frac{1}{3};$ P(B) = $\frac{2}{3}$

$\Rightarrow p = \frac{1}{3}; q = \frac{2}{3}$ and r = 4 or 5 and n = 5

Use $P (r) =^{n} C_{r} p^{r} q^{n - r}$

P(4) + P(5)

$=^{5} C_{4} {(\frac{1}{3})}^{4} {(\frac{2}{3})}^{1} +^{5} C_{5} {(\frac{1}{3})}^{5}$

$= \frac{10}{3^{5}} + \frac{1}{3^{5}} = \frac{11}{3^{5}} = \frac{11}{243}$

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2 months ago

Business Punjab

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Milanjit Kaur

Beginner-Level 3

If you feel confident and have a clear idea, starting your own business after a BBA from Chandigarh University is also an exciting option. The programme gives you exposure to management, marketing, and finance, which are essential for running a business. You can start small, test your ideas, and gradually grow. Many BBA graduates leverage their knowledge to launch startups in marketing, consulting, retail, or digital services. The advantage of starting early is learning firsthand about business challenges, building leadership skills, and potentially achieving financial independence faster. It's riskier than a job, but with proper plann

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2 months ago

Are Chandigarh University students unable to find employment after completing a BBA degree?

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ABHINAV SRIVASTAVA

Contributor-Level 10

UBS at Chandigarh University has an excellent placement record for MBA Batch 2025, with nearly 85% of students graduating with a job. The average salary offered was approximately ₹12.43 Lacs per annum, which can vary based on specialisation and company. Top companies that recruited at Chandigarh University included Adani, Adobe, American Express, and HP, hiring for positions in consulting, finance, IT, and sales, with the highest package reaching ₹24 lakh. Although the average package decreased slightly from the previous year, the overall placement scenario is robust, especially for students specializing in analytics and consulting

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2 months ago

Punjab Accounting & Commerce

Bcom or BBA which is better at Chandigarh University?

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Sunny Dhaliwal

Beginner-Level 2

BCom and BBA at Chandigarh University are both solid, but they are very different from each other. BCom focuses on numbers, finance, and accounting, so you'll spend more time understanding money management, financial reporting, and taxation. BBA, meanwhile, is about managing people and business processes, teaching you skills in marketing, HR, operations, and entrepreneurship. If you're someone who enjoys dealing with data, accounts, and finance, BCom is the way to go. If you prefer leadership roles, managing teams, or understanding how businesses run, BBA fits better. Both have excellent faculty, campus facilities, and placement opport

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2 months ago

Motion in Magnetic Field Physics Moving Charges and Magnetism

Two ions of masses 4 amu and 16 amu have charges +2e and +3e respectively. These ions pass through the region of constant perpendicular magnetic field. The kinetic energy of both ions is same. Then:

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Maths NCERT Exemplar Solutions Class 11th Chapter Two Maths

Contributor-Level 10

$R = \frac{\sqrt[]{2 E m}}{B . q}$

$\Rightarrow R \times \frac{\sqrt[]{m}}{q}$

$\Rightarrow \frac{R_{1}}{R_{2}} = \frac{\sqrt[]{4}}{2} \times \frac{3}{\sqrt[]{16}} = \frac{3}{4}$

$\Rightarrow R_{2} = \frac{4 R_{1}}{3}$

$s i n θ = \frac{d}{R} \Rightarrow θ α \frac{1}{2} \Rightarrow θ_{2} < θ_{1}$

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2 months ago

If log?(x+?) x² < log?(x+?) (2x+3) then value of x

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Raj Pandey

Contributor-Level 9

${l o g}_{(2 x + 3)} ? x^{2} < {l o g}_{(2 x + 3)} ? (2 x + 3)$

Case-I: $0 < 2 x + 3 < 1$

$x^{2} > 2 x + 3$

Case-II: $2 x + 3 > 1$

$0 < x^{2} < 2 x + 3$

By solving (1) & (2) $\begin{array}{r} \frac{- 3}{2} < x < - 1 & (x - 3) (x + 1) > 0 . \\ \frac{- 3}{2} < x < - 1, x > 3 \end{array}$

Equation (4) has no solution $\frac{- 3}{2} < x < - 1, x < - 1$

.(5) By equation (5) . $x \in (\frac{- 3}{2}, - 1)$

We obtain solving equation (2) $x > - 1 x > - 1 \Rightarrow x \in (- 1,3)$

or $(x - 3) (x + 1) < 0 - 1 < x < 3, x^{2} > 0 \Rightarrow x \neq 0$

$x \in (\frac{- 3}{2}, - 1) \cup (- 1,3) - {0}$

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2 months ago

Physics Ncert Solutions Class 12th Communication Systems

An antenna is mounted on a 400m tall building. What will be the wavelength of signal that can be radiated effectively by the transmission tower upto a range of 44kg?

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