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$A r e a = \frac{1}{2} (\sqrt[]{5} - 1) \frac{9 - \sqrt[]{5}}{4} - \int_{1}^{\sqrt[]{5}} \frac{1}{2} \sqrt[]{5 - x^{2}} d x$

$= \frac{1}{8} (- 14 + 10 \sqrt[]{5}) - \frac{1}{2} \int_{c o s^{- 1} \frac{1}{\sqrt[]{5}}}^{0} (- s i n^{2} θ) d θ$

$A = \frac{- 14}{8} + \frac{5}{4} \sqrt[]{5} - (\frac{5}{4} c o s^{- 1} \frac{1}{\sqrt[]{5}} - \frac{1}{2})$

$= \frac{5}{4} \sqrt[]{5} - \frac{5}{4} - \frac{5}{4} c o s^{- 1} \frac{1}{\sqrt[]{5}}$

$α = \frac{5}{4}, β = \frac{- 5}{4}, γ = \frac{- 5}{4}$

$| α + β + γ | = \frac{5}{4}$

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8 months ago

Five friends – Umang, Viren, Xavier, Falak and Gagan collected gold on the sea shore. They collected a total of 100 gold.

None of them collected less than 10 gold each. No two among them collected the same number of gold. Following information is given regarding the number of gold with each one of them:

I. Umang collected the same number of gold as Viren and Xavier put together.

II. Xavier collected 3 more gold than the cube of an integer.

III. The number of gold collected by Umang was the square of an integer.

IV. The number of gold collected by Viren was the square of an integer.

V. The number of g

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Contributor-Level 10

U – Umang

V – Viren

X – Xavier

F – Falak

G – Eagan

We have

U + V + X + F + G = 100

And each one of U, V, W, X, F, G? 10

U = V + X and 3Y = 4Z

Now, U, V, X, F, G? 10

Also, U = V + X

X = Cube + 3

V, U = Square

and F : G = 4 : 3

This is possible only when

U = 36, V = 25, X = 11, G = 12, F = 16

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8 months ago

Directions for questions: Read the information carefully and answer the questions given below.

Five friends – Umang, Viren, Xavier, Falak and Gagan collected gold on the sea shore. They collected a total of 100 gold.

None of them collected less than 10 gold each. No two among them collected the same number of gold. Following information is given regarding the number of gold with each one of them:

I. Umang collected the same number of gold as Viren and Xavier put together.

II. Xavier collected 3 more gold than the cube of an integer.

III. The number of gold collected by Umang was the square of an integer.

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Vector Algebra Maths NCERT Exemplar Solutions Class 12th Chapter Seven

Contributor-Level 10

U – Umang

V – Viren

X – Xavier

F – Falak

G – Eagan

We have

U + V + X + F + G = 100

And each one of U, V, W, X, F, G? 10

U = V + X and 3Y = 4Z

Now, U, V, X, F, G? 10

Also, U = V + X

X = Cube + 3

V, U = Square

and F : G = 4 : 3

This is possible only when

U = 36, V = 25, X = 11, G = 12, F = 16

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8 months ago

Let $\vec{a}, \vec{b}, \vec{c}$ be three mutually perpendicular vectors of the same magnitude and equally inclined at an angle $θ,$ with the vector $\vec{a} + \vec{b} + \vec{c} .$ Then 36cos² 2q is equal to…………..

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Contributor-Level 9

$| \vec{a} | = | \vec{b} | = | \vec{c} | = l$

$\vec{a} . \vec{b} = \vec{b} . \vec{c} = \vec{c} . \vec{a} = 0$

${| \vec{a} + \vec{b} + \vec{c} |}^{2} = 3 l^{2}$

$\Rightarrow l^{2} = \sqrt[]{3} l^{2} c o s θ \Rightarrow c o s θ = \frac{1}{\sqrt[]{3}}$

36 cos² 2q = 36 ${(\frac{2}{3} - 1)}^{2} = 4$

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8 months ago

Five friends meet every morning at Kali ghata restaurant for an Vada pav-Vada breakfast. Each consumes a different number of Vada pav and Bhaji pav. The number of Vada pavs consumed are 1, 4, 5, 6, and 8, while the number of Bhaji pav consumed are 0, 1, 2, 4, and 6. Below are some more facts about who eats what and how much.

I. The number of Bhaji pav eaten by Isha is three times the number of Bhaji pav consumed by the person who eats four Vada pavs.

II. Three persons, including the one who eats four Bhaji pav eat without chutney.

III. Shweta does not take any chutney.

IV.&nbs

Central University of Jharkhand Colleges in Ranchi

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8 months ago

Is life science + biotechnology available at Central University of Jharkhand? Or only zoology and botany is there?

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8 months ago

I. The number of Bhaji pav eaten by Isha is three times the number of Bhaji pav consumed by the person who eats four Vada pavs.

II. Three persons, including the one who eats four Bhaji pav eat without chutney.

III. Shweta does not take any chutney.

IV.&nbs

Maths NCERT Exemplar Solutions Class 12th Chapter Seven Maths

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8 months ago

Let a, b, c, d be in arithmetic progression with common difference $λ .$

If $| \begin{matrix} x + a - c & x + b & x + a \\ x - 1 & x + c & x + b \\ x - b + d & x + d & x + c \end{matrix} | = 2$ , then the value of $λ^{2}$ is equal to…………..

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Contributor-Level 9

$R_{1} \to R_{1} - R_{2}, R_{2} \to R_{2} - R_{3}$

$Δ = | \begin{matrix} a - c + 1 & b - c & a - b \\ b - d - 1 & c - d & b - c \\ x - b + d & x + d & x + c \end{matrix} |$

$C_{1} \to C_{1} - C_{2} & C_{2} \to C_{2} - C_{3}$

$Δ = | \begin{matrix} a + 1 - b & 2 b - c - a & a - b \\ b - 1 - c & 2 c - b - d & b - c \\ - b & d - c & x + c \end{matrix} | = | \begin{matrix} - λ + 1 & 0 & - λ \\ - λ - 1 & 0 & - λ \\ - b & λ & x + c \end{matrix} |, R_{1} \to R_{1} - R_{2}$

$= | \begin{matrix} 2 & 0 & 0 \\ - λ - 1 & 0 & - λ \\ - b & λ & x + c \end{matrix} | = 2 λ^{2} = 2 \Rightarrow λ^{2} = 1$

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8 months ago

I. The number of Bhaji pav eaten by Isha is three times the number of Bhaji pav consumed by the person who eats four Vada pavs.

II. Three persons, including the one who eats four Bhaji pav eat without chutney.

III. Shweta does not take any chutney.

IV.&nbs

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New Question

8 months ago

Directions for questions: Read the information carefully and answer the questions given below.

I. The number of Bhaji pav eaten by Isha is three times the number of Bhaji pav consumed by the person who eats four Vada pavs.

II. Three persons, including the one who eats

Conic Sections Maths NCERT Exemplar Solutions Class 12th Chapter Seven

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8 months ago

Let y = mx + c, m > 0 be the focal chord of y² = -64x, which is tangent to ${(x + 10)}^{2} + y^{2} = 4 .$ Then, the value of $4 \sqrt[]{2} (m + c)$ is equal to………….

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Contributor-Level 9

0 = -16 m + c . (i)

$\frac{| m (- 10) + C |}{\sqrt[]{m^{2} + 1}} = 2 . . . . . . . . . . . . . (i i)$

(i) & (ii) Þ 36 m² = 4 (m² + 1)

$m = \frac{1}{2 \sqrt[]{2}}, C = \frac{8}{\sqrt[]{2}}$

$4 \sqrt[]{2} (m + c) = 34$

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8 months ago

Aigue, Bipin, Charistakis and Dimitrios are four Fashion Designers who took part in one of London fashion week, Lopez fashion week, Paris fashion week and Milan fashion week fashion shows in four consecutive months of a year (not in that order). These shows were held in Atlanta, Beijing, Indonesia and Frankfurt (not in that order). The following information is given about the previous year fashion shows which generally start in Beijing every year. No two shows were held at the same location. No two Fashion Designers participated in the same show and no one participated in more than one show.

I. Aigue did not take part in the Paris fash

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Chaudhary Charan Singh Haryana Agricultural University Colleges in Haryana - Other

Contributor-Level 10

Following table can be drawn from the given information.

	A	B	C	D	Month
London	×	×	√	×	Oct.
Lopez	×	×	×	√	Dec.
Paris	×	√	×	×	Sept.
Milan	√	×	×	×	Nov.
Country	Atlanta	Beijing	Indonesia	Frankfurt

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8 months ago

What is POSE Scholarship offered to BSc students at CCS HAU?

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Vishakha

Contributor-Level 10

To encourage meritorious students towards Science education and to support them for continuation of their Science education up to higher levels, CCS HAU offers POSE scholarships to 100 meritorious BSc students. In this scholarship, an INR 4,000 stipend per month is offered to the students. The details of the scheme are available on the official website—dstharyana.org.

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8 months ago

Invertis University Teerthanker Mahaveer University

Which offer better placement: Invertis for M.Sc Biotechnology or TMU for MLT course?

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8 months ago

I. Aigue did not take part in the Paris fash

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Chaudhary Charan Singh Haryana Agricultural University Colleges in Haryana - Other

Contributor-Level 10

Following table can be drawn from the given information.

	A	B	C	D	Month
London	×	×	√	×	Oct.
Lopez	×	×	×	√	Dec.
Paris	×	√	×	×	Sept.
Milan	√	×	×	×	Nov.
Country	Atlanta	Beijing	Indonesia	Frankfurt

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8 months ago

Does CCS HAU offers scholarships to BSc students?

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Abhishek Hazarika

Contributor-Level 10

Yes, Chaudhary Charan Singh Haryana Agricultural University does offer scholarships to BSc students. Mainly, the scholarships are provided to students who are from specific categories, are need-based, and are meritorious. The Indian Council of Agricultural Research awards the National Talent Scholarship to students who have achieved commendable scores in the entrance exam. The stipend of INR 3,000 are provided to them.

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8 months ago

I. Aigue did not take part in the Paris fash