Maths is quite an abstract subject, and it can be rather intimidating at times. However, you can learn mathematics easily and effortlessly if you practice enough. To guide you in this endeavour, we have provided detailed solutions on many important concepts. The solutions are elaborated with simple, yet detailed explanations. Relevant formulas are listed out wherever required. Tips and shortcuts are provided to save precious time and effort.

Content is presented in a format which can be comprehended with ease. This means students will understand concepts without much hassle. From an exam perspective, a wide range of questions is covered from a plethora of subjects concepts from Trigonometry and Statistics to Calculus and Integrals.

Just like any other subject, mathematics can be better understood through exhaustive practice. Consider this analogy: a skill such as dancing or painting can only be perfected with enough practice. Similarly, the only way to get better at math is to keep practising. Moreover, we have a database of questions extracted from school textbooks and competitive exams. These will help the students to practice and perfect concepts in mathematics.

We are also here to help you solve your doubts. Post your questions in the comment box below and we will immediately provide answers and a detailed step-by-step process to solve the same. Register at BYJU’S and start practising Maths Questions today!

We have to convert 16 2/3% as a fraction and decimal at first will convert 16 2/3 % into improper fraction To convert a mixed fraction into...
We have to find the value of 16 3/4 We know that 16 can be expressed in the power of 2 16 = 2 X 2 X 2 X 2 16 = 24 Hence the given number...
We have to find the square root of 81 To find the square root of 81 we will factorise it first Here we have to find the prime factors of 81....
A rule of polygons is that the sum of the exterior angles always equals 360 degrees. Exterior angle = Θ = 360 / n Where ni is...
LCM is the method to find the smallest possible multiple of two or more numbers. LCM stands for Least common multiple. LCM of two numbers is...
We have to find the square root of 20 We will find the square root using prime factorisation The prime factorisation of 20 is given below...
Evaluate the value of tan ∏/4 We know that ∏ = 180 and ∏/4= 45 tan ∏/4 = tan 45 We have learnt that Tan α = sin...
log0.01 10 Let log0.01 10 = x (0.01)x = 10 (10-2)x = 101 10-2x = 101 -2x = 1 We get, x = (- 1 / 2) Hence, the value of x is (-1 / 2)...
LCM is the method to find the smallest possible multiple of two or more numbers. LCM stands for Least common multiple. LCM of two numbers is...
We have to evaluate the expression 3C2 To evaluate the expression 3C2 we use the following formula nCr =n!/r! (n - r)! n = 3 r = 2...
We have to solve 3/4 + 5/6 3/4 + 5/6 Now we will take the LCM of denominators 4 and 6 LCM of 4 and 6 First write the common multiples of...
Square root of a number is the value that returns the original number on multiplied by itself. Finding square root by prime factorisation is an...
Let us solve the given expressionusing binomial theorm (2x + 3y) 5 = 5C0 (2x)5 (3y)0 + 5C1 (2x)4 (3y)1 + 5C2 (2x)3 (3y)2 + 5C3 (2x)2 (3y)3 + 5C4...
Square root of a number is the value that returns the original number on multiplied by itself. Finding square root by prime factorisation is an...
Let u=cosx , dv=cosxdv , du=−sinxdx v=sinx . ∫udv =uv−∫vdu ∫cosx cosxdx =cosx sinx−∫sinx(−sinx)dx cos...
To convert fraction to a per cent, you just need to multiply the fraction by 100 and reduce it to per cent. Here are a few examples that will...
We have to prove sin(A+B) + sin(A-B) = 2sinA sinB Let us start with LHS sin(A+B) + sin(A-B) We have learnt the identity sin (A + B)...
Given equation is: kx (x−2) + 6 = 0 kx2 − 2kx + 6 = 0-----(i) For a quadratic equation to have equal roots b2 – 4ac = 0 On comparing the...
Given 3 numbers 12, 45 and 75 we have to find the HCF of above 3 numbers we will find the HCF by prime factorization method The factors are 12 =...
Answer: The reciprocal of zero is not defined. The reciprocal is defined as the multiplicative inverse of a number. A Reciprocal is described...

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