# 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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Directrix of a hyperbola is a straight line that is used in generating a curve. It can also be defined as the line from which the hyperbola...
The natural log function of 0 is denoted by “loge 0”. It is also known as the log function of 0 to the base e. The representation of...
107 10 X 10 X 10 x 10 X 10 X 10 x 10 = 1,00,00,000...
log(x)=-0.123 We know that C =logba The inverse relation is a=bc For common logarithms, b =10 So x=10-0.123= 0.7534...
2x+3y=6 2x= 6-3y x = x =...
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...
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...
A trapezium is not a parallelogram because a parallelogram has 2 pairs of parallel sides. But a trapezium only has 1 pair of parallel sides....
We have to factorise sin3x - cos3x Let us solve using the identity (a3 – b3) = (a – b)(a2 + b2 + ab) Here a =sin x and b =...
The integers which can be generated by multiplying the two smallest positive integers and contain at least one divisor other than number...
We have to find the diagonal of a rectangle whose sides are 20 and 48. Let us assume that the sides of a given rectangle as length L= 20...
We know that 42 = 16. so multiply the denominator and numerator by the reciprocal =16...
Equation of the line passing through the points (x1, y1) and (x2, y2) is Hence equation of the required line will be...
Will solve sin x =1/2 using inverse function so sin-1(1/2) = x Let x is an angle equal to Sin-1 (1/2)x = sin-1(1/2)We know that, sin 30...