# Maths Questions

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.

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We have to factorise = = = =...
Prime factorisation is a method to find the prime factors of a given number, say a composite number. These factors are nothing but the prime...
We have to solve 1−sin2x=cosx−sinx 1−sin2x=cosx−sin x (cosx−sin x) 2=cos x−sin x So, cos x−sinx=1...
The square root of any number is equal to a number, which when squared gives the original number. Let us assume that m is a positive integer,...
We have to integrate ∫sin3(x)dx ∫sin3(x)dx=∫sin(x)(1−cos2(x))dx =∫sin(x)dx−∫sin(x)cos2(x)dx Let us consider the first integral We know that...
We need to evaluate the integral of 1/(1+x2) Let us assume that I= Substitute x= tan u dx=sec2uduu = arctan x----------(i) So I= = = =u...
A rectangular array of m x n numbers (real or complex) in the form of m horizontal lines (called rows) and n vertical lines (called columns), is...
A polygon is a two-dimensional geometric figure that has a finite number of sides. The sides of a polygon are made of straight line segments...
The number of positions in which a figure can be rotated and still appears exactly as it did before the rotation, is called the order of...
We have to prove that tan(180-x) = -tan(x) We know the identity tan(A-B) = [(tan A – tan B)/(1 + tan A tan B)] Now we will substitute A =...
A Maclaurin series is a function that has expansion series that gives the sum of derivatives of that function. The Maclaurin series of a function...
We have to simplify sec x / tan x sec x / tan x We will express sec x and tan x in terms of sin and cos sec x / tan x = 1/ cos x / sin x /...
A centimeter is a unit of length in the International System of Units (SI), the current form of the metric system. It is defined as 1/120 meters....
A perpendicular bisector can be defined as a line segment which intersects another line perpendicularly and divides it into two equal parts....
We have to find the square root of 1600 To find the square root of 1600 we will factorise it first Here we have to find the prime factors of...
We have to find the value of tan (π/3) tan π= 180 tan(π/3) = 180/3 tan(π/3) = 60 tan 60 can be expressed as tan 60 = sin 60...
Given sec Θ = 4 By reciproval identity we know that sec Θ = 1/cosΘ sec Θ= 1/cos Θ = 1/4 1/cos Θ = 4...
We have to find 30% of 400 A percentage is a number or ratio that can be expressed as a fraction of 100. To calculate the percentage of a...
The value which refers to the distance of a number from the origin of a number line is called absolute values. It is represented as |a|, which...
We have to find the value of 813/4 We know that 81 can be expressed in the power of 3 81 = 3 X 3 X 3 X 3 8 = 34 Hence the given number...