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) Thus the... View Article
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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... 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... 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
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
Fill in the blank.Two angles are congruent if ____
Two angles are congruent if their measures are equal.
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.
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... 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... View Article
Cycas and adiantum resemble each other in having: A. Seeds B. Motile sperms C. Cambium D. Vessels
Answer: B. Motile sperms
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.
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.
Solve the following equation: 2(x + 4) =12.
2(x+4)=12 x+4 = 12/2 x+4 = 6 x = 6 – 4 x = 2
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... 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
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... 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 =... 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... View Article
