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Armed Forces Flag Day is a national observance held annually on 7 December to pay tribute to the courage, sacrifice and service of India’s armed forces personnel. The day also aims to raise funds for the welfare, rehabilitation and resettlement of ex-servicemen, war-widows, disabled soldiers and the families of martyrs through the Armed Forces Flag […]

National Press Day 2025 – Significance, Theme, and History Introduction National Press Day is observed every year on November 16 to honor the Press Council of Indiaand promote the value of a free and responsible press. The day recognizes journalists who work tirelessly to keep the public informed while upholding truth and ethics in reporting. History of National Press

Introduction National Education Day is celebrated every year on November 11 across India, honoring Maulana Abul Kalam Azad, the nation’s first Education Minister and a leading architect of India’s modern education system. Established in 2008 by the Ministry of Education, the day is dedicated to spreading awareness about the importance of inclusive education and remembering

In a historic moment, India launched is heaviest communication satellite from its soil into a Geosynchronous Transfer Orbit (GTO) on Sunday from Satish Dhawan Space Centre, Sriharikota. This launch marks another stride in the country’s push to build self-reliant, high-capability space infrastructure. Upon successful launch, Indian Space Research Organisation (ISRO) posted on X, “LVM3-M5/CMS-03 Mission

Introduction Chhath Puja is one of the oldest and most revered Hindu festivals, celebrated mainly in Bihar, Jharkhand, Eastern Uttar Pradesh, and Nepal. This four-day festival is dedicated to Lord Surya (Sun God) and Chhathi Maiya, symbolizing gratitude, devotion, and purity. In 2025, Chhath Puja is observed from October 25th to October 28th. History and

Aim: Sample number Si1 Si2 Sii3 Si4 Si5 S1 6.35 6.40 6.32 6.37 6.42 S2 6.34 6.40 6.34 6.36 6.39 S3 6.42 6.64 6.35 6.59 6.72 S4 6.38 6.48 6.44 6.58 6.39 Procedure: Output: Output for sample mean and sample variance Sample \[Sample\ mean\ (\bar{S_i})\] \[Sample\ variance\ (\bar{v_i})\] S1 \[\bar{S_1}\]= 6.37 v1=0 S2 \[\bar{S_2}\]=6.37 v2

Aim: Procedure: Output: Output for Normal curve fitting and data estimation

Aim: Data Set: V = 20, R = 5, L = 10 Procedure: Output: Output table for I and Q for V,R and L various values of t. t I(t) Q(t) 0 0 8 1 1.57 8.85 2 2.53 10.94 3 3.11 13.79 4 3.46 17.08 5 3.67 20.66 Output for I and Q for

Aim: Procedure: Output: Output for modelling the boundary of the polygon Output for Area of the Irregular Polygon

Aim: Procedure: To evaluate the limit of the rational functions. To evaluate the first and second derivatives of the functions. Output: Limit of the polynomial functions h a-h a+h LHV RHV 1 0 2 6 0 0.5 0.5 1.5 3.75 0.75 0.2 0.8 1.2 2.64 1.44 0.1 0.9 1.1 2.31 1.71 0.08 0.992 1.008 2.0241

Syllabus: Recapitulation of domain and range of sin x, cos x, tan x, cosec x, sec x and cot x and their graphs – Definition of inverse trigonometric functions-Domain and range of sin⁻¹x, cos⁻¹x, tan⁻¹x, cosec⁻¹x, sec⁻¹x, cot⁻¹x and their graphs – Principle values of inverse trigonometric functions – simple problems. Function: Domain and Range

Aim: Procedure: Output: Output for the touching Circles Circle1 Circle2 Equation \[(x-2)^2\ +\ (y+3)^2\ =\ 5\] \[(x-5)^2\ +\ (y-3)^2\ =\ 5\] Centre C1 = (2, -3) C2 = (5,3) Radius R1 = 2.24 R2 =4.47 C1C2: the distance between the centres d = 6.71 R1 + R2 6.71 |R1 – R2| 2.24 C1C2 = R1

ఫోన్ నుంచి దూరం పెట్టి పిల్లల్లో ఏకాగ్రత పెంచే ఆట డామినోస్. ఒక బ్లాక్ని కదిపితే చాలు, దాని వెనుక ఒక క్రమ పద్ధతిలో అమర్చిన రంగుల బ్లాక్స్ అన్నీ వరసగా పడిపోతాయి. ఆ ఆటనే డామినోస్ అంటారు. పిల్లలకే కాదు, పెద్దవాళ్లకీ ఓపికనీ, ఏకాగ్రతనీ పెంచే ఆట ఇది. డామినో బ్లాక్స్ ని ఒక నిర్ణీత దూరంలో అమరిస్తేనే వాటినన్నింటినీ ఒకేసారి పడేయగలం. దీన్నే డామినో రేస్ అంటారు. ఏమాత్రం ఏకాగ్రత తప్పినా, ఈ బ్లాక్స్

1. Answer any fifteen questions in PART- A. All questions carry equal marks. (15 X 2 =30) 2. Answer all questions, choosing any two sub-divisions each question under Part-B. All questions carry equal marks. (5 X 14 = 70) ( 7 + 7) The Normal equations are In a standard deck of 52 playing cards,