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6 months ago

Complex Numbers and Quadratic Equations Maths

Let the lines (2 – i) z = (2 + i) $\bar{z} a n d (2 + i) z + (i - 2) \bar{z} - 4 i = 0,$ (here i² = -1) be normal to a circle C. If the line iz + $\bar{z} + 1 + i = 0$ is tangent to this circle C, then its radius is:

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Vishal Baghel

Contributor-Level 10

(2 – i) z = (2 + i) $\bar{z}$ , put z = x + iy

$y = \frac{x}{2} . . . . . . . . (i)$

(ii) $(2 + i) z + (i - 2) \bar{z} - 4 i = 0$

x + 2y = 2

(iii) $i z + \bar{z} + 1 + i = 0$

Equation of tangent x – y + 1 = 0

Solving (i) and (ii)

$x = 1 . y = \frac{1}{2} \Rightarrow c e n t r e (1, \frac{1}{2})$

Perpendicular distance of point $(1, \frac{1}{2})$ $\frac{}{}$ from x – y + 1 = 0 is p = r $\Rightarrow | \frac{1 - \frac{1}{2} + 1}{\sqrt[]{2}} | = r$ $\frac{\frac{}{}}{}$

$r = \frac{3}{2 \sqrt[]{2}}$

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6 months ago

NIT Nagaland - National Institute of Technology Colleges in Nagaland - Other

What are the documents required for NIT Nagaland admission?

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Manashjyoti Srivastava

Contributor-Level 10

Below are the important documents for NIT Nagaland admission:

Valid email id and mobile number
10th and Class 12th qualifying exams
Scanned copy of the category certificate (if applicable)
Scanned copy of the PwD certificate (if applicable)
Scanned photograph and signature as per the specification mentioned by the NTA
Net banking/credit card/debit card/UPI details for application fee payment

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6 months ago

Thermodynamics Physics

The internal energy (U), pressure (P) and volume (V) of an ideal gas are related as U = 3PV + 4. The gas is:

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alok kumar singh

Contributor-Level 10

U = 3PV + 4

^{$\Rightarrow n C_{v} T = 3 P V + 4$}

$\Rightarrow n \times \frac{f R T}{2} = 3 P V + 4$

$\Rightarrow f = 6 + \frac{8}{P V}$

$\Rightarrow f > 6 \Rightarrow p o l y a t o m i c$

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6 months ago

Maths Class 11th

If $0 < θ, ? < \frac{π}{2}, x = \sum_{n = 0}^{\infty} c o s^{2 n} θ, y = \sum_{}^{} s i n^{2 n} ? a n d z = \sum_{n = 0}^{\infty} c o s^{2 n} θ . s i n^{2 n} ? t h e n :$

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Vishal Baghel

Contributor-Level 10

$x = \sum_{n = 0}^{\infty} c o s^{2 n} θ = c o s^{0} θ + c o s^{2} θ + c o s^{4} θ + . . . . . = 1 + c o s^{2} θ + c o s^{4} θ + . . . . .$

a = 1, r = cos2

$x = S_{\infty} = \frac{a}{1 - r} = \frac{1}{1 - c o s^{2} θ} = \frac{1}{s i n^{2} θ}$

Similarly, y = $\frac{1}{c o s^{2} θ} \Rightarrow \frac{1}{y} = c o s^{2} θ$ $\frac{}{^{}} \frac{}{}^{}$

$z = \frac{x y}{x y - 1} \Rightarrow x y z - z = x y . . . . . . . . . . . (i)$

Also, $\frac{1}{x} + \frac{1}{y} = 1 \Rightarrow x + y = x y . . . . . . . . . . (i i)$ $\frac{}{} \frac{}{}$

(i) & (ii) xyz = xy + z (x + y) z = xy + z

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6 months ago

Engineering VSAT

In what language is the VSAT question paper based?

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Mamona Rai

Contributor-Level 7

The VSAT question paper is based in English language. Candidates well-versed with English will not find any issues in solving the question paper.

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6 months ago

Electrostatics Physics Electrostatic Potential and Capacitance

If ‘C’ and ‘V’ represent capacity and voltage respectively then what are the dimensions of $λ$ where C/V = $λ ?$

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alok kumar singh

Contributor-Level 10

Kindly go throiugh the solution

$λ = \frac{c}{v} = \frac{Q^{3}}{W^{2}} = \frac{I^{3} T^{3}}{M^{2} L^{4} T^{- 4}} \Rightarrow [λ] = [M^{- 2} L^{- 4} T^{7} l^{3}]$

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6 months ago

Probability Maths

When a missile is fired from a ship, the probability that it is intercepted is $\frac{1}{3}$ and the probability that the missile hits the target, given that it is not intercepted, is $\frac{3}{4} .$ If three missiles are fired independently from the ship, then probability that all three hit the target, is:

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Vishal Baghel

Contributor-Level 10

Let

A : Missile hit the target

B : Missile intercepted

P (B) = $\frac{1}{3} P (A / \bar{B}) = \frac{3}{4}$ $\frac{}{} \frac{}{}$

$P (\bar{B}) = \frac{2}{3}$

$\Rightarrow P (\bar{B} \cap A) = \frac{3}{4} \times \frac{2}{3} = \frac{1}{2}$

Required Probability = $\frac{2}{3} \times \frac{3}{4} \times \frac{2}{3} \times \frac{3}{4} \times \frac{2}{3} \times \frac{3}{4} = \frac{1}{8}$

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6 months ago

Three Dimensional Geometry Maths

Let a, b $\in$ R. If the mirror image of the point P (a, 6, 9) with respect to the line $\frac{x - 3}{7} = \frac{y - 2}{5} = \frac{z - 1}{- 9} i s$

$(20, b, - a - 9), t h e n | a + b |$ is equal to:

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Vishal Baghel

Contributor-Level 10

$\frac{a + 20}{2} = 3 + 7 r$

a + 20 = 6 + 14r . (i)

b = 2 + 10r. (ii)

a = 18r – 2 . (iii)

Solving (i) and (iii) we get

20 + 18r – 2 = 6 + 14r

r = 3

$∴$ a = 14 + 14 (-3) = -56 and b = -2 30 = 32

$| a + b | | - 56 - 32 | = 88$

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6 months ago

Chandigarh University (CU) B.Sc

What is the placement record for a B.Sc (Computer Science) at Chandigarh University?

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Amrit

Beginner-Level 4

When it comes to Computer Science, placements matter the most. At Chandigarh University BSc Computer Science students have been strong hiring in the past years. In last year the univesity recorded more than 9000 offers with top salary reaching Rs54.75 LPA in India and Rs 1.7 crore abroad. Compaanies like Microsoft, Amazon, Hewlett Packard, TCS and IBM took students for roles in software, testing and data work.

The university placement team arranges industry sessions, corporate talks and training drives to prepare students. Some students join global firms, some go for research, while some work in national IT companies. Placement numbers

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6 months ago

Physics Motion in Straight Line Physics

A scooter accelerates from rest for time t₁ at constant rate a₁ and then retards at constant rate a₂ for time t₂ and comes to rest. The correct value of $\frac{t_{1}}{t_{2}}$ will be:

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alok kumar singh

Contributor-Level 10

$t a n α = \frac{v_{m a x}}{t_{1}} = a_{1}$

$t a n β = \frac{v_{m a x}}{t_{2}} = a_{2}$

$\Rightarrow \frac{a_{1}}{a_{2}} = \frac{t_{2}}{t_{1}} \Rightarrow \frac{t_{1}}{t_{2}} = \frac{a_{2}}{a_{1}}$

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6 months ago

Chandigarh University (CU) Engineering

How is the placement in BE CSE-Cloud Computing in Chandigarh University?

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Amrit

Beginner-Level 4

The Placement scene in CSE Cloud Computing is generally positive. As cloud technology is now very important in the IT sector, recruiters look for such skills. Students in this programme get practical learning which helps during interviews. Many big companies visit and hire for different roles like cloud engineer system admin or data related jobs. Some students get very attractive packages while others secure stable jobs with good pay. The university also invites international companies which gives wider exposure. the trend shows that every year more companies are adding cloud roles in their hiring. For students who want to enter IT wit

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6 months ago

Chandigarh University (CU) Artificial Intelligence

I am particularly interested in artificial intelligence and machine learning. Does CU offer an engineering degree in AI & ML?

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6 months ago

Maths Class 12th

For the system of linear equations:

x – 2y = 1, x – y + kz = -2, ky + 4z = 6, k $\in R,$

Consider the following statements:

(A) The system has unique solution if $k \neq 2, k \neq - 2 .$

(B) The system has unique solution if k = -2.

(C) The system has unique solution if k = 2.

(D) The system has no solution if k = 2.

(E) The system has infinite number of solutions if $k \neq - 2 .$

Which of the following statements are correct?

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Vishal Baghel

Contributor-Level 10

x – 2y = 1, x – y + kz = -2, ky + 4z = 6

x – 2y + 0. z – 1 = 0

x – y + kz + 2 = 0

0x + ky + 4z – 6 = 0

$Δ_{1} = | \begin{matrix} 1 & - 2 & 0 \\ - 2 & - 1 & k \\ 6 & k & 4 \end{matrix} | = - (k + 10) (k + 2)$

For no solution

$Δ = 0, Δ_{1} \neq 0$

k = 2

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6 months ago

Chandigarh University (CU) Punjab

Can I change my specialisation in Chandigarh University?

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6 months ago

Chandigarh University (CU) Punjab

What is the average salary package offered by IT companies to BTech students from Chandigarh University (CU)?

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Vandana Aggarwal

Contributor-Level 6

Information Security at Chandigarh University has one area with which many know-it-alls are very interested: placement. Here, the span is very broad. The highest international figure reached 1.7 crore from a US company, while the national part went up around 54.75 LPA. Some other really big offers included around 50 LPA from Google, over 52 LPA from Charter Global, and 36 LPA from Arcesium. Average packages mostly remain between 8 to 9 LPA, with minimum offers nearing 3.5 LPA from companies like Wipro and Capgemini. Almost every year some of the big recruiters coming include Microsoft, Amazon, and IBM, besides Tech Mahindra, Cognizant,

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6 months ago

Chandigarh University (CU) Punjab

What is the average salary offered to Computer Science Engineering graduates from Chandigarh University during placements?

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Vandana Aggarwal

Contributor-Level 6

Though the university is recognised as a top institution in engineering education, and with quite a uptake with regards to placements, there have been efforts, and keep on putting efforts, by the university, to connect students with such prestigious employers within the country and around the globe.

Some of the multinational companies that throw lucrative packages include Hewlett Packard, Google, Microsoft, Accenture, Deloitte, Amazon, IBM, and SAP Labs, Samsung, Reliance Industries and Godrej, among a large list of MNCs that recruit students from the university. It has a fairly large number of placements and some very good packag

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6 months ago

Chandigarh University (CU) btech

How is Chandigarh University for a B.Tech from CS?

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Balwant Singh

Contributor-Level 7

As far as I know, I would like to clarify that Chandigarh University does not offers B.Tech in CSE, it offers B.E. in CSE, which is way better.

And you know what, the engineering programme at the university is globally recognized. It has accreditations from the Accreditation Board for Engineering and Technology (ABET) and the National Board of Accreditation (NBA). This means the degree is valued not just in India but all over the world. The dept has advanced labs like the Microsoft Innovation Centre, IBM Software Lab and Virtusa Robotics & Automation Center. Students get to work on real-time projects and learn through workshops, s

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6 months ago

Georgetown University Georgetown University Admission chances

What is the admission process for Indian students to get into Georgetown Law?

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Kanishka Gambhir

Contributor-Level 10

The admission process is same for Indian students as well as students from other international countries at Georgetown University for Law. Interested students must satisfy the university's eligibility criteria & submit some mandatory documents to have a chance of securing seat at the institution.

Mentioned below is the step-by-step admission process for Indian students:

· File an application via the LSAC portal

· Pay USD 90 (INR 7880) as application fee

· Submit all educational transcripts & other important documents

· Check application status regularly via the admission portal

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6 months ago

Displacement Current Physics Electromagnetic Waves

What will happen if we use normal current of electrons instead of displacement current?

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Aadit Singh Uppal

Contributor-Level 10

The aim of using displacement current was to allow currrent ot flow inspite of a change in the field. This was not possible in the case of actual current since it lead to some complex situations, due to which scientists had to find a new solution for generating an electric field in such cases.

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6 months ago

Physics Oscillations Physics

A particle executes S.H.M., the graph of velocity as a function of displacement is:

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