# 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 know that area of a circle is πr2. So, the area of a semicircle or half circle is 1/2(πr2 ), where r is the radius....
arccos(- 1 / 2) Assume y = arccos(- 1 / 2). cos y = – 1 / 2 with 0 ≤ y ≤ Π (Cos Theorem) … (1) Cos (π / 3) = 1 / 2...
We will divide 48 by 3. Since 3 has a negative symbol, answer will also have negative symbol 48÷(−3)=−16...
Let us start with LHS cos 2A can be expressed as cos 2A= cos (A + A) Using the identity cos(A+B)=cos(A)⋅cos(B)−sin(A)⋅sin(B)...
We know that d/dx ( tan x) = sec2x so tan x is antiderivative of sec x The general antiderivative of sec2x is tan x...
We have to simplify (x+4)2 We will simplify the given expression using the identity (a+b)2= a2 + b2+ 2ab Here a = x and b = 4 (x+4)2 = x2...
Simplify -i3 -i3 = (-i). (-i) (-i) = (-i)(-i2) = (-i) (-1) = -i...
An equilateral triangle is the one where all sides are equal and have an equal angle. The internal angles of the equilateral triangle are also...
We have to evaluate for x in the equation given: -89 - 4x = -10x + 25 -89 - 4x = -10x + 25 Combining the like terms we get -4x +10x=25+89 6x=...
Given tan(-x)=1.5 We know that tan (-x)=-tan x tan (-x)=-tan x = -(-1.5)=1.5 Hence tan (-x)=1.5...
Yes adjacent angles of a parallelogram are supplementary Let us consider Parallelogram ABCD. To prove: ∠A + ∠B = 180 degrees, ∠C...
We can find the square root of 0.4 by the following method 0.4 can be expressed as 4/10 √0.4= Multiplying numerator and denominator by...
We know that tan can be expressed as tan x = sin x / cos x tan (90+x) = sin (90+ x) /cos (90+x)------(i) USing identity sin(90 + X) = sin(X)...
Except 2, all other prime numbers are odd numbers. A natural number which has exactly two factors, i.e. 1 and the number itself, is a prime number....
We have to differentiate y=lnx y = ln x x=ey dx/dy= ey dy / dx = 1/ey=1/x...
x3 + x – 3x2 – 3 Here x is common factor in x3 + x and – 3 is common factor in – 3x2 3×2 – 3 x3 – 3x2...
On multiplying using the identity we get the equation as...
The given expression is y=cos(3x) Differentiate the above expression with respect to x and find the first derivative: y'=dy/dx(cos 3x) y'=-3sin 3x...
We have to add 2/3 and 4/5 2/3 and 4/5 Will take LCM of 3 and 5 LCM of 3 and 4 is 15 2(5)/3(4) + 4(3) / 5(3) = 10+12/15 = 22/15...
Both the domain and range are all real numbers except for zero. DomainThe set of all possible values which qualify as inputs to a function is...