Archives

A wire 34 cm long is to be bent in the form of a quadrilateral of which each angle is 90⁰. What is the maximum area which can be enclosed inside the quadrilateral?

(a) 68 cm2 (b) 70 cm2 (c) 71.25 cm2 (d) 72. 25 cm2 Solution: Let the length of the quadrilateral be x and breadth be y. So... View Article

How many tangents are parallel to x-axis for the curve y = x² – 4x + 3?

(a) 1 (b) 2 (c) 3 (d) No tangent is parallel to x-axis Solution: Given y = x2 - 4x + 3 dy/dx = 2x-4 Tangent is parallel to x axis.... View Article

The total number of parallel tangents of f₁(x)= x² – x + 1 and f₂(x) = x³ – x² -2x + 1 is

(a) 2 (b) 0 (c) 1 (d) infinite Solution: Given f1(x)= x2 - x + 1 ..(i) f2(x) = x3 - x2 -2x + 1 ..(ii) Differentiate (i)... View Article

f(x) = log(π+ x)/log (e+x) is

(a) increasing on [0, ∞) (b) decreasing on [0, ∞) (c) increasing on [0, π/e], decreasing on [π/e,... View Article

Find the minimum value of the function 40/(3x⁴ + 8x³ -18x² +60).

(a) 1/3 (b) 2/3 (c) 4/3 (d) 5/3 Solution: Let y = 40/(3x4 +8x3 -18x2 +60) For y to be minimum, the denominator should be maximum,... View Article

If the rate of change in volume of a spherical soap bubble is uniform, then the rate of change of the surface area varies as

(a) square of radius (b) square root of radius (c) inversely proportional to radius (d) cube of the radius Solution: Let r be the... View Article

A stone thrown vertically upward satisfies the equation s = 64t – 16t², where s is in meter and t is in second. What is the time required to reach the maximum height?

(a) 1s (b) 2s (c) 3s (d) 4s Solution: Given s = 64t - 16t2 Differentiate w.r.t.t ds/dt = 64 - 32t At maximum... View Article

The equation of the normal to the curve y = |x² – | x|| at x = -2.

(a) 3y = x + 8 (b) x = 3y + 4 (c) y = 2x +8 (d) y = 3x Solution: Given y = |x2 - | x|| We have to find the equation of the... View Article

The approximate value of (0.007)¹³

(a) 23/120 (b) 27/120 (c) 19/120 (d) 17/120 Solution: Let y = f(x) = x1/3 f’(x) = ⅓ x-⅔ f(x + ∆x) = f(x) +... View Article

What is DICGC? Why is it important?

It was founded in 1978 after the Parliament passed the Deposit Insurance and Credit Guarantee Corporation Act, 1961, that merged the Deposit... View Article

14 Feb 2022: UPSC Exam Comprehensive News Analysis

CNA 14 Feb 2022:-Download PDF Here TABLE OF CONTENTS A. GS 1 Related B. GS 2 Related POLITY AND GOVERNANCE 1. India non-committal on funding... View Article

13 Feb 2022: PIB Summary for UPSC

TABLE OF CONTENTS 1. Maharaja Surajmal 2. Agricultural Products Export Development Authority [APEDA] 3. Modernisation of Police Forces (MPF)... View Article

13 Feb 2022: The Hindu Analysis

UPSC Current Affairs Preparation: The Hindu Analysis Watch expert analysis of ‘The Hindu’ dated 13 Feb 2022. Important news and views to boost... View Article

13 Feb 2022: UPSC Exam Comprehensive News Analysis

CNA 13 Feb 2022:-Download PDF Here TABLE OF CONTENTS A. GS 1 Related B. GS 2 Related POLITY AND GOVERNANCE 1. Dhami’s push for uniform code stirs... View Article

12 Feb 2022: PIB Summary for UPSC

TABLE OF CONTENTS 1. Statue of Equality 2. MAROON BERET CEREMONIAL PARADE 3. LCA TEJAS 4. SMILE Scheme 5. Samajik Adhikarita Shivir 1.... View Article

12 Feb 2022: The Hindu Analysis

UPSC Current Affairs Preparation: The Hindu Analysis Watch expert analysis of ‘The Hindu’ dated 12 Feb 2022. Important news and views to boost... View Article

Drainage System of India [UPSC Geography Notes]

Geography is an important part of the UPSC syllabus. Many questions are asked every year in both the prelims and the mains from this subject. It... View Article

Indian Geography [UPSC Notes]

Geography is an important part of the UPSC syllabus, both for UPSC Prelims and UPSC Mains exams. In this article, you can read all about the... View Article

12 Feb 2022: UPSC Exam Comprehensive News Analysis

CNA 12 Feb 2022:-Download PDF Here TABLE OF CONTENTS A. GS 1 Related B. GS 2 Related INTERNATIONAL RELATIONS 1. Quad meet focuses on Indo-Pacific... View Article

11 Feb 2022: PIB Summary for UPSC

TABLE OF CONTENTS 1. One Ocean Summit 2. Pandit Deendayal Upadhyay 3. Generic Names of Medicine in medical prescription 4. National Rail Plan... View Article