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The parabola y² = 4x and x² = 4y divided the square region bounded by the lines x = 4, y = 4 and the coordinate axes. If S₁, S₂, S₃ are respectively the areas of these parts numbered from top to bottom, then S₁ : S₂ : S₃ is equal to

1) 1 : 1 : 1 2) 2 : 1 : 2 3) 1 : 2 : 3 4) 1 : 2 : 1 Solution: (1) 1 : 1 : 1... View Article

The area of the region bounded by the curves y = |x – 2|, x = 1,x = 3 and the x-axis is

1) 1 2) 2 3) 3 4) 4 Solution: (1) 1... View Article

The area of the region bounded by the straight lines x = 0 and x = 2 and the curves y = 2^x and y = 2x – x² is equal to

1) [(2 / log 2) - (4 / 3)] 2) [(3 / log 2) - (4 / 3)] 3) [(1 / log 2) - (4 / 3)] 4) [(4 / log 2) - (3 / 2)] Solution: (2) [(3 / log... View Article

Area of the region satisfying x ≤ 2, y ≤ |x| and x ≥ 0 is

1) 4 sq units 2) 1 sq units 3) 2 sq units 4) None of these Solution: (3) 2 sq units... View Article

04 July 2021: UPSC Exam Comprehensive News Analysis

CNA 04th July 2021:- Download PDF Here TABLE OF CONTENTS A. GS 1 Related B. GS 2 Related HEALTH 1. China goes malaria-free with multi-pronged... View Article

03 July 2021: PIB Summary & Analysis

TABLE OF CONTENTS 1. Regeneron International Science and Engineering Fair (ISEF) 1. Regeneron International Science and Engineering Fair... View Article

AIR Spotlight – Digital India Anniversary

AIR Spotlight is an insightful programme featured daily on the All India Radio Newsonair. In this program, many eminent panelists discuss issues... View Article

03 July 2021: The Hindu Analysis

UPSC Current Affairs Preparation: The Hindu Analysis Watch expert analysis of ‘The Hindu’ dated 03rd Jul 2021. Important news and views to boost... View Article

UPSC 2021: Weekly GK and Current Affairs Quiz Jul 03 – Jul 09

UPSC 2021: Weekly GK and Current Affairs Quiz Jul 03 - Jul 09 with Multiple Choice Questions and answers for IAS Exam Preparation other... View Article

PENCIL Portal [UPSC Notes]

PENCIL is an electronic platform developed by the Ministry of Labour and Employment for effective enforcement of no child labour policy. It was... View Article

03 July 2021: UPSC Exam Comprehensive News Analysis

CNA 03rd July 2021:- Download PDF Here TABLE OF CONTENTS A. GS 1 Related B. GS 2 Related POLITY AND GOVERNANCE 1. House panel awaits States’... View Article

02 July 2021: PIB Summary & Analysis

July 02nd, 2021, PIB:- Download PDF Here TABLE OF CONTENTS 1. Stock Limits and Movement Restrictions on Specified Foodstuffs (Amendment) Order,... View Article

Eco-Sensitive Zones (ESZ)

The Supreme Court of India, in April 2023, revised its 2022 mandate, which required the establishment of an eco-sensitive zone of at least 1... View Article

02 July 2021: The Hindu Analysis

UPSC Current Affairs Preparation: The Hindu Analysis Watch expert analysis of ‘The Hindu’ dated 02nd Jul 2021. Important news and views to boost... View Article

AIR Spotlight – GST: One Nation, One Tax

AIR Spotlight is an insightful programme featured daily on the All India Radio Newsonair. In this program, many eminent panelists discuss issues... View Article

The mass of Li³⁺ is 8.33 times the mass of a proton. If Li³⁺ and proton are accelerated through the same potential difference, then the ratio of de Broglie’s wavelength of Li³⁺ to proton is x ×10^–1. Find x

Answer: 2 m (Li3+) = 8.33 × m p+ (given) Debroglie's wavelength (λ) = h / p KE = ½ mv2 Multiplying by m on both sides m. KE = ½ mv2 2m.... View Article

4.5 g of a solute having molar mass of 90 g/mol is dissolved in water to make a 250 mL solution. Calculate the molarity of the solution.

Answer: 0.2 WB (given weight of solute) = 4.5 g MB (Molar mass of solute) = 90 g/mol VS (Volume of solution) = 250 mL = 250 / 1000 L = 1/4 L... View Article

Among the following compounds, how many are amphoteric in nature?

Be(OH)2, BeO, Ba(OH)2, Sr(OH)2 Answer: 2 The oxide and hydroxide of Be are amphoteric. Hence BeO and Be(OH)2 is amphoteric. Ba(OH)2 and Sr(OH)2... View Article

What is the coordination number in Body Centered Cubic (BCC) arrangement of identical particles?

Answer: 8 The easiest way is to look at the atom at the body center. It lies at the center of the body diagonal and touches the eight corner... View Article

9.45g of CH₂ClCOOH is dissolved in 500 mL of H₂O solution and the depression in freezing point of the solution is 0.5°C. Find the percentage dissociation.

(Kf)H2O = 1.86K kg mole-1. Answer: 34.4% CH2Cl COOH CH2ClCOO- + H+ Initial 1 0 0 Dissociated α α α Left (1-α) α α i = final moles /... View Article

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