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Solve:(1+y^2)dx=(tan^(-1)y-x)dy

(1+y2)dx=(tan-1y - x)dy dx/dy = (tan-1y - x)/(1+y2) dx/dy + x/(1+y2) = (tan-1y)/(1+y2) Let P = 1/(1+y2) and Q = (tan-1y)/(1+y2)... View Article

504 cones, each of diameter 3.5 cm and height 3 cm, are melted and recast into a metallic sphere. Find the diameter of the sphere.

Given, diameter of each cone = 3.5 cm radius, r = 3.5/2 height of each cone = 3cm Thus the volume of each cone, V = 1/3 πr2h =... View Article

What is menstrual cycle? Which hormones regulate menstrual cycle?

The menstrual cycle is the regular change that occurs in the female reproductive system that makes pregnancy possible. The cycle is required for... View Article

Period of cos x cos (60° – x) cos (60° + x) is: A. π/2 B. π C. π/3 D. 2π/3

Answer: D. 2π/3 Let, Y = cos x cos (60° - x) cos (60° + x) By the trigonometric identity, [2cosAcosB=cos(A+B)+cos(A−B)],... View Article

Who established the hindu college in calcutta? A) Madan Mohan Malviya B) Bal Gangadhar Tilak C) Raja Ram Mohan Roy D) Rabindranath Tagore

C) Raja Ram Mohan Roy... View Article

What are the main objectives of nonalignment movement? A. Self-determination B. National independence C. Socioeconomic development D. All of the above

Answer: D. All of the above... View Article

Fill in the blank.Two angles are congruent if ____

Two angles are congruent if their measures are equal.... View Article

Study of seed is called? A. Embryology B. Palynology C. Spermology D. Pomology

Answer: C. Spermology The study of the seeds is known as spermology.... View Article

If the mean of x+2, 2x+3, 3x+4 and 4x+5 is x+2, then find the value of x.

Given, Mean of x + 2, 2x + 3, 3x + 4 and 4x + 5 is x + 2 Thus, by the formula of mean we know; Mean = Sum of all observations/Total... View Article

Water availability per person in india is declining. True or False?

True. Huge amount of use of water nowadays are declining water availability per person in India. The water is the most important resource of... View Article

Cycas and adiantum resemble each other in having: A. Seeds B. Motile sperms C. Cambium D. Vessels

Answer: B. Motile sperms... View Article

Natural reservoir of phosphorus is? A. Sea water B. Animal bones C. Rock D. Fossils

Answer: C. Rock Sedimentary rocks are the largest reservoir of the phosphorous. ... View Article

Identify me. I am the short term average condition of temperature humidity and rainfall of any region.

Climate is the short term average condition of temperature humidity and rainfall of any region.... View Article

Solve the following equation: 2(x + 4) =12.

2(x+4)=12 x+4 = 12/2 x+4 = 6 x = 6 - 4 x = 2... View Article

Write Maxwell’s right hand thumb rule. What should be the angle between magnetic filed and current?

According to Maxwell's right hand thumb rule, if we hold a current carrying conductor in right hand, such that let the thumb points the towards... View Article

Pyrenoids are made up of: A. Core of starch surrounded by sheath of protein B. Core of protein surrounded by fatty sheath C. Proteinaceous centre and starchy sheath D. Core of nucleic acid surrounded by protein sheath

Correct Answer: C. Proteinaceous centre and starchy sheath Explanation: Pyrenoids are found in the chloroplast of many algae and bryophytes such... View Article

It is the fifth largest planet. It formed around 4.5-4.6 billion years ago. Which planet are we talking about? (A) Earth (B) Mars (C) Venus (D) Jupiter

(A) Earth... View Article

A cylinder of radius R and length L is placed in a uniform electric field E parallel to the cylinder axis. The total flux for the surface of the cylinder is given by : (A) R/E (B) πR2/E (C) 2πR2E (D) Zero

Answer: (D) Zero We know, ϕ = E.ds Flux through surface of one end, ϕa = E×πR2 Flux through surface of opposite end, ϕb =... View Article

A sum fetched a total simple interest of rs 4016.25 at the rate of 9% p.a. in 5 years. What is the sum? A).Rs. 4462.50 B).Rs. 8032.50 C).Rs. 8900 D).Rs. 8925

Answer: D).Rs. 8925 Solution: By the formula of Simple interest, we know, S.I. = (Principal x Rate x Time)/100 Principal = (S.I. x... View Article

Identify the gas which is readily adsorbed by activated charcoal? A. N2 B. O2 C. SO2 D. H2

Answer: C. SO2 SO2 is easily liquefiable gas and hence it is readily adsorbed by activated charcoal. It has a greater value of critical... View Article

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