Category Archives: School Learning

Question 1. Express each of the following integers as a product of its prime. i) 420 ii) 468 iii) 945 iv) 7325 Solution: Let usâ€¦ Read More
Question 11. Find the greatest number which divides 285 and 1249 leaving remainders 9 and 7 respectively. Solution: The required number when divides 285 and 1249,â€¦ Read More
Question 1. Define HCF of two positive integers and find the HCF of the following pairs of numbers: (i) 32 and 54 Solution: Applying Euclidâ€™sâ€¦ Read More
Factorization of polynomials is required for solving various problems in Algebra. Factors are numbers or algebraic expressions that divide another number or expression evenly i.eâ€¦ Read More
If f(x) and g(x) are polynomial functions such function. that g(x) â‰  0 then f(x)/g(x) is called Rational Functions. If degree f(x) < degree g(x)â€¦ Read More
While solving mathematical problems, you may have seen types of equations. Few Equations can contain only numbers, others consist of only variables while some consistsâ€¦ Read More
The knowledge of matrices is necessary for various branches of mathematics. Matrices are one of the most powerful tools in mathematics. From matrices there comesâ€¦ Read More
Series can be defined as the sum of all the numbers of the given sequence. The sequences are finite as well as infinite. In theâ€¦ Read More
Question 1. Find the curved surface area of a cone, if its slant height is 6 cm and the radius of its base is 21â€¦ Read More
In this article, we are going to discuss the Bernoulli Trials and Binomial Distribution in detail with the related theorems. Bernoulli trial is also knownâ€¦ Read More
Chapter 1 Relations And Functions – Exercise 1.1 | Set 1 Question 11. Show that the relation R in the set A of points inâ€¦ Read More
Find the modulus and the arguments of each of the complex numbers i. Exercises 1 to 2. Question 1.  z = â€“ 1 â€“ iâ€¦ Read More
Question 1. Show that the function f: R* â‡¢ R* defined by f(x)=(1/x) is one-one and onto, where R* is the set of all non-zeroâ€¦ Read More
Question 1: âˆ« sin2(2x+5) dx Solution: sin2(2x+5)= (1-cos2(2x+5)/)2 = (1-cos(4x+10))/2 â‡’ âˆ«sin2(2x+5)dx= âˆ«(1-cos(4x+10))/2 dx                      â€¦ Read More
Question 1. Find the volume of the right circular cone with: (i) Radius 6cm, height 7cm (ii) Radius 3.5cm, height 12cm (iii) Height is 21cmâ€¦ Read More