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Sheeba Parveen (female) got second rank, and #3 by Shivangi Yadav. In 2023, the girl topper was Shalini Patel from Varanasi. She achieved first place in the BEd-JEE with a score of 92.5%.

2(cos²θ/sin²θ) - 5/sinθ + 4 = 0
(2sinθ - 1)(sinθ - 2) = 0
sinθ = 1/2 only
∴ θ = π/6, 5π/6
↓↓
θ?, θ?
∫(π/6 to 5π/6) cos²3θdθ = ∫(π/6 to 5π/6) (1+cos6θ)/2 dθ = π/3

11.00
Let probability of hitting the target = p ⇒ p=1/2
Let n be the minimum number of bombs
According to given condition
1 - (?C?P?(1-P)? + ?C?P¹(1-P)?¹) ≥ 99/100
⇒ 2? ≥ (n+1)100
n=10 ⇒ 2¹? ≥ 1100 Reject
n=11 ⇒ 2¹¹ ≥ 1200 Select

If each observation is multiplied with p and then q is subtracted
New mean x? = px? - q ⇒ 10 = p(20)-q
and new standard deviations σ? = |p|σ? ⇒ 1 = |p|(2) ⇒ |p|=1/2 ⇒ p=±1/2
If p=1/2, then q=0. If p=-1/2, q=-20.

6.00
b·a = c·a
|a+b-c|² = |a|²+|b|²+|c|²+2(a·b - b·c - a·c)
= 4+16+16+2(a·b - 0 - a·b) = 36
⇒ |a+b-c| = 6

BBA programme at Sai Balaji Pune offers a total of 80 seats. These seats are allocated to candidates who meet the eligibility criteria and successfully clear the admission process. The limited number of seats ensures a focused learning environment and personalized attention for all enrolled students. 

The topper in the 2025 UP BEd. JEE exam is Suraj Kumar Patel from Mirzapur, who secured the first rank with 362.662 marks out of 400. He is a science stream student belonging to the OBC category. The results were declared on June 17, 2025, by Bundelkhand University, Jhansi.

0.50
 y = x²-3x+2, x+y=a, x-y=b
x?=2 x?=1
y? = 4-6+2 = 0 y?=0
(2,0)
(1,0)
b=2
a=1
∴ a/b = 1/2 = 0.5

Madras University BSc programme runs for a three-year duration. The total tuition fees for the programme range from INR 17,120 to INR 4.98 lakh. At the time of University of Madras course admissions, students may be required to pay the first installment of the fees.

Note: The above-mentioned fee is as per the official sources. However, it is indicative and subject to change.

120.00
(1 + x + x² + x?)? = (1 + x)? · (1 + x²)?
Coefficient of x? = ?C?·?C? + ?C?·?C? + ?C?·?C?
= 15 + 90 + 15
= 120

OS = √S?
Radius = R = 2
Length of AB = (2RL)/√(L²+R²) = 16/√20
AB² = 64/5

The UP BEd JEE exam cutoff depends on factors including the difficulty level of the exam, the number of candidates and the total available seats in colleges, the previous year's cutoff trends, and category-wise reservations. A tougher exam, more seats, or higher previous year cutoffs can lead to a lower actual cutoff, while more applicants or fewer seats can result in a higher cutoff

19.00
Only '2' in range → 1 function
one element out of 1, 3, 4 is in range with '2'
number of ways = ³C? × (3!/(2!1!)) × 2! = 18
(Select one from 1, 3, 4 and distribute among a, b, c)
Total function = 1 + 18 = 19

The last date to apply for Assistant Administrative Officer exam was September 8, 2025. The LIC did not extend the LIC AAO application last date.

Yes, the phase of the reactant (solid, liquid or gas) actually affects the rate of a reaction. Gases and Liquids tend to move more freely and effectively as compared to solids, which increaes the frequency of particles colliding with each other.

The above fee details have been sourced from the official website/sanctioning body being subject to change and may no longer be accurate.

To enrol in an MBA course at CHTS Institute of Hotel Management, Catering and Tourism, candidates must meet the eligibility criteria set by the institute. The institute offers full-time MBA courses lasting two years. Students are selected based on merit. In addition to the selection criteria, students must pass the graduation (common eligibility).

Great Lakes Institute of Management, Chennai provides various programmes and specialisations to students. For obtaining FORE School of Management admission, candidates are required to appear for the prescribed entrance tests. Students can visit the official website of the Great Lakes Institute of Management to learn more regarding the eligibility details for their preferred course choice. Accepted exams include XAT, CAT, and NMAT.

Let point P be (2t, t²) and Q be (h,k).
h/3 = (2t)/3, k/3 = (-2+t²)/3