Prove that (r_1 – r)(r_2 – r)(r_3 – r) = 4r^2R.
Let ABC be the triangle in which r is the inradius and R is the circumradius. So, r = ∆/s;... View Article
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Trabeate style was used in the construction of which of the following? a) Mosques b) Tombs c) Temples d) All of the above
Answer: The correct answer is option (d) – All of the above. The Trabeate style architecture was used in the... View Article
Why do we need a Parliament?
Answer: We need a Parliament for the reasons given below: The ultimate authority for making laws in any country is... View Article
“The Northern plains have diverse relief features”. Explain.
Answer: It is generally believed that Northern plains do not have any variations in its relief features. This is not... View Article
Explain how Poverty is caused by the growth in Population.
Answer: In rural areas of India, a large number of people are poor farmers. Their land is usually not fertile... View Article
The founder-President of the Indian Independence League was _______ a) Motilal Nehru b) M.K. Gandhi c) Subash Chandra Bose d) Rash Behari Bose
Answer: The correct answer is option (D) – Rash Behari Bose. The Indian Independence League was established in Tokyo. The... View Article
Discuss the powers and functions of the Parliament.
Answer: Apart from making Laws for India, the other important functions and powers of the Parliament are given below: Financial... View Article
How has Human Capital formation helped India?
Answer: Human capital formation has helped India grow economically, scientifically, technologically, socially and walk on the path of prosperity. India... View Article
What is the difference between prudential and moral reasons for power sharing?
Answer: The difference between Prudential and Moral reasons for power sharing is given in the below table: Prudential Reasons Moral... View Article
Find 20% of 25
20% of 25 = 20/100 × 25 = 5 Therefore 20% of 25 is 5
What is the formula for tan2x?
The formula of tan2x is tan2x = 2tan x/(1-tan2x) tan2x = sin 2x/cos 2x
Given that x,y,z are positive real such that xyz=32. If the minimum value of x^2+4xy+4y^2+2z^2 is equal to m, then the value of m/16 is.
Now, x2+4xy+4y2+2z2 = x2 + 2xy + 2xy + 4y2 + z2+ z2 We know that A.M. ≥ G.M. ∴... View Article
A sum of money doubles itself in 8 years at compound interest. It will amount to 16 times itself at the same rate of interest in:
Let the principal be P and the rate be r According to the question, 2P = P(1 + r/100)8 ⇒... View Article
If Thursday was the day after the day before yesterday five days ago, what is the least number of days ago when Sunday was three days before the day after tomorrow?
Day after the day before yesterday is Yesterday Five days ago from today, yesterday was Thursday that means 6 days... View Article
log 0.132 value
Now, log10 0.132 = log10 [ 1.32 × 10-1] = log10 1.32 + log10 10-1 = log10 1.32 – 1... View Article
Find the number of factors of 5400? a] 18 b] 36 b] 40 d] 48
A factor of a number is a number that can divide the given number completely. Here, 5400/18 = 300 5400/36... View Article
We are given a 4-digit number using digits 1 to 9. What is the maximum 3-digit number that we can make by removing one digit from the given integer?
For any given 4-digit number, we can make the greatest 3-digit number by removing the smallest digit from that 4-digit... View Article
If O is the point of intersection of two chords AB and CD such that OB = OD, then prove that triangles OAC and ODB are similar
<img class=”img-responsive” src=”https://cdn1.byjus.com/wp-content/uploads/2022/01/Figure-1.png” alt=”Figure-1″ title=”Figure-1″ /> Given, ∠AOC = 45° ∠AOC = ∠BOD = 45°(Vertically opposite angles) OD = OB... View Article
List all factors of 378
Factors of 378 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126,189 The prime... View Article
Round off 2.999824 up to three decimal places
To round off 2.999824 up to three decimal places we look at the ten-thousandth place since it is greater than... View Article
