Ask & Answer: India's Largest Education Community

Acharya N.G. Ranga Agricultural University provides good placements to its graduating students.Check out the table below to know the key highlights of the Acharya N.G. Ranga Agricultural University placement packages 2024:

NOTE: The above data is obtained from the NIRF report 2025

Harcourt Butler Technical Universitya BPharm tuition fee amounts to INR 3 lakh. This fee component payment is yearly or semester-wise, generally. Candidates who get selected have to pay the admission fee amount to secure their seats. It must also be noted that the given fee amount is as per the official website/ sanctioning body. It is still subject to revision and hence, is indicative.

The Acharya N.G. Ranga Agricultural University placement report for 2024 is not out yet. However the NIRF report for 2025 has been released.Check out the tabulated data given below to know more about Acharya N.G. Ranga Agricultural University placement 2024:

NOTE: The above data is obtained from the NIRF report 2025

Area = ∫? ² (2? - logx)dx = [2? /ln2 - (xlnx-x)]? ²
= (4/ln2 - (2ln2-2) - (2/ln2 - (0-1) = 2/ln2 - 2ln2 + 1.
α=2, β=-2, γ=1.
(α+β-2γ)² = (2-2-2)² = 4.

log (x + √ (x²+1) is an odd function.
f (-x) = log (-x + √ (x²+1) = log (1/ (x+√ (x²+1) = -log (x+√ (x²+1) = -f (x).
Integral of an odd function over a symmetric interval is 0.

The Acharya N.G. Ranga Agricultural University the highest package has not been disclosed yet. Once released it will be updated here. Meanwhile, students can refer to the median package given in the table below:

NOTE: The above data is obtained from the NIRF report 2025

There are about 9 best Law colleges in Chennai accepting CLAT score. Check the table below for the top colleges with fees -

Source: Official site and may vary.

The total fees for the Adarsh Group of Institutions MBA programme is a combination of multiple components, such as tuition fees, hostel fees, application fees, etc. The total tuition fee is around INR 6 Lakh. The tuition fee is paid in installments at the beginning of each academic year. Besides, hostel fee can cost around INR 2.04 Lakh, if applicable. Additionally, one-time payments such as admission fee and examination form fee are also included in the total fees budget.

xdy - ydx = x³cosxdx
(xdy-ydx)/x² = xcosxdx
d (y/x) = xcosxdx
y/x = ∫xcosxdx = xsinx - ∫sinxdx = xsinx + cosx + c
y = x²sinx + xcosx + cx
y (π) = 0 + π (-1) + cπ = 0 ⇒ c = 1
y = x²sinx + xcosx + x
y (π/2) = (π/2)² (1) + 0 + π/2 = π²/4 + π/2

lim (n→∞) [n² + 8n] / [n² + 4n] = 1.
The question is likely a Riemann sum.
lim (n→∞) (1/n) Σ [ (2k/n - 1/n) / (2k/n - 1/n + 4) ]
This is too complex. Let's follow the image solution.
lim (n→∞) (1/n) Σ [ 2 (k/n) + 8 ] / [ 2 (k/n) + 4 ]
∫? ¹ (2x+8)/ (2x+4) dx = ∫? ¹ (1 + 4/ (2x+4) dx = [x + 2ln|2x+4|]? ¹
= (1 + 2ln6) - (0 + 2ln4) = 1 + 2ln (6/4) = 1 + 2ln (3/2).

Acharya N.G. Ranga Agricultural University provides impressive placements to its graduating students. Check out the table below to know the key highlights of the Acharya N.G. Ranga Agricultural University Placement 2024:

NOTE: The above data is obtained from the NIRF report 2025

NIT Durgapur accepts JEE Main scores for admission to the BTech course specialisations. The cutoff is released category-wise for candidates belonging to the All India as well as the Home State quota. For candidates belonging to the General HS category, the cutoff ranks to get admission ranged between 11904 and 47061. 

For the General AI category students, the cutoff ranks ranged between 12191 and 70944. To check more branch-wise, category-wise and round-wise NIT Durgapur cutoff 2025, check this page. 

Acharya N.G. Ranga Agricultural University has been providing successful placements over the years. Refer to the data tabulated below to know the key highlights of the Acharya N.G. Ranga Agricultural University Placement 2024:

NOTE: The above data is obtained from the NIRF report 2025

1st sample: n? =100, x? =15, σ? =3. Σx? = 1500. Σx? ² = n? (σ? ²+x? ²) = 100 (9+225) = 23400.
Whole group: n=250, x? =15.6, σ²=13.44. Σx = 250×15.6 = 3900.
2nd sample: n? =150. Σy? = 3900 - 1500 = 2400. y? = 2400/150 = 16.
Σ (x+y)² = n (σ²+x? ²) = 250 (13.44+15.6²) = 250 (13.44+243.36) = 64200.
Σy? ² = 64200 - 23400 = 40800.
σ? ² = Σy? ²/n? - y? ² = 40800/150 - 16² = 272 - 256 = 16.
σ? = 4.

Reflected point of (2,1) about y-axis is (-2,1).

Reflected ray passes through (-2,1) and (5,3).
Equation: (y-1)/ (x+2) = (3-1)/ (5+2) = 2/7 ⇒ 2x - 7y + 11 = 0.
This is one directrix. Let the other be 2x - 7y + α = 0.
Distance between directrices = 2a/e = |11-α|/√53.
Distance from focus to directrix = a/e - ae = 8/√53.
a/e (1-e²) = 8/√53.
e=1/3. a/e (8/9) = 8/√53 ⇒ a/e = 9/√53.
2a/e = 18/√53 = |11-α|/√53.
|11-α| = 18.
11-α = 18 ⇒ α = -7.
11-α = -18 ⇒ α = 29.
Other directrix: 2x-7y-7=0 or 2x-7y+29=0.

Acharya N.G. Ranga Agricultural University provides good placements to its graduating students. The students are given excellent placement support every year placing them in top companies. Check out the table below to know the key highlights of the Acharya N.G. Ranga Agricultural University placements 2024:

NOTE: The above data is obtained from the NIRF report 2025

If (gof)? ¹ exist then gof is a bijective function. For gof to be bijective, f must be one-one and g must be onto.