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Mathematics is the study of different topics like quantity, structure, space, and changes, etc. It is present all around us and in everything we do. There are various math formulas that are used in our daily life. Math is the foundation of statistics, accounting, computer science, and the latest technology. You can't imagine the world without it. That is why industries around the world widely use it.

*Different categories of Math*

There are two types of Math

- Pure Mathematics
- Applied Mathematics

Maths is an Art, and Pure math is the backbone of mathematics. It is done without immediate consideration of the direct application. Finance, economics are existing examples of areas to which pure mathematics is applied significantly. It has various branches, and some of them are listed below:

**Algebra****Mathematical analysis****Geometry****Number theory**

It is a mathematical approach to solve different problems, commonly found in fields like Physical science, engineering, computer science, etc. It is the application of mathematics in real-world situations. Statistics or probability theory are examples of applied maths. It involves various branches, and some of them are listed below: -

**Mathematics of engineering****Continuous modeling****Statistics****Game theory**

Addition, subtraction, multiplication, and division consider as the basic elements of mathematics. Without these operations, it is not possible to solve mathematics problems.

Some of the useful tricks to solve math problems quickly are:

**Addition of the large numbers****Subtracting from 1,000****Multiply by 9****Division**

The addition of the larger numbers can be a headache for you. You can simplify the process using the below-mentioned trick.

Example: 678 + 234

Take a round-up value to simplify the problem:

=> 678 -> (680 - 2) -> 678; => 234 -> (230 + 4) -> 234

Add the round-up numbers 680 + 230 = 910

Now subtract/add the number used for round-ups:

910 - (2) + (4) = 912

Directly subtract each number from 9 except the first one.

Example: 1000 - 662

Subtract 6 from 9 = 3

Subtract 6 from 9 = 3

Finally, Subtract 2 from 10 = 8

The answer will be 338.

Suppose you need to multiply 9 with 8, then do it as:

Subtract 1 from the multiplying number;

8 - 1 = 7

Subtract the number from 9 as:

9 - 7 = 2

Combine the answers as 72 that is 9 x 8 = 72.

Divide by 2: When the last digit of the number has an even value, then the number is divisible by 2.

Divide by 4: When the last two digits are divisible by 4, then the number is also divisible by 4.

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Yes, You can help yourself with mathematics. But it would be best if you have few qualities, i.e., good command of math, time management skills, and more. If you have these qualities, then you can help yourself in this subject.

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Math is one of the vast subjects in the world. And we cover almost every topic of math, including elementary education to the doctorate level. Here are some of the crucial topics covered in our mathematics assignment help:-

Geometry and Topology assignment help | Geometry and Topology deal with shapes, size, figures, and positions. Both of these subjects are concerned with similar properties like shapes, sizes, positions, and figures. But Topology is one step further from geometry. It also deals with various object properties, i.e., bending, twisting, stitching, and so on. |

3D Geometry assignment help | 3D geometry involves all the coordinates, i.e., X coordinate, Y coordinate, Z coordinate. In this, we draw mathematical shapes in 3D space. Our experts have good command over 3D geometry assignment help, so don't worry about the quality. |

Calculus assignment help | Calculus is divided into two parts, i.e., differential calculus and integral calculus. And both of these calculus is widely used in the field of engineering. Therefore we are here to offer you the best calculus assignment help within a low budget. |

Algebra assignment help | It is widely used in geometry. The basic concept of algebra is to represent the value of symbols and numbers. And then implement the formulas of the equation. We offer the best algebra assignment help to the students at nominal charges. |

Trigonometry assignment help | Trigonometry is used with the right-angle triangle. It involves the relationship between the sides of a triangle. Our math tutors have the skills to provide you with the best quality trigonometry assignment help. |

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Number theory assignment help | It is the study of integers that deals with different properties of numbers. Our experts provide basic to advanced level number theory assignment help to the students. |

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Computation assignment help | As the name suggests, it deals with computer-oriented methods. The primary role of computation is to deal with various computer algorithms that use both arithmetic and non-arithmetical steps. We have computation experts who can solve the most complicated problems within a few minutes. Grab the best mathematics assignment help online service now. |

Suppose π, π, and Ξ» be +ve real numbers. P is the endpoint of the parabola's latus rectum π¦^2 = 4Ξ»π₯, and the ellipse {x^{2}}/{a^{2}}+{y^{2}}/{b^{2}} = 1 passes the point π. If the tangents and the ellipse to the parabola at the point P perpendicular to each other, then the ellipse's eccentricity will be:

- 1/2
- 1/β2
- 2/5
- 1/3

** Solution:**

Answer: b

P(Ξ», 2Ξ»)

y^{2} = 4Ξ»x β (dx/dyβ) β=1 = p1ββ¦β¦.(1)

Now E: = {x^{2}}/{a^{2}}+{y^{2}}/{b^{2}} = 1 Passes the point P

(Ξ»^2β/a^2) + (4Ξ»^2β/b^2) = 1 β (dx/dyβ) = -b/(2a^2) β= p2β

(2Ξ»/2Ξ»β)X β [(Ξ»/a^2)β β (b^2)/2Ξ»] β= β1 β¦β¦.(2)

From eq. (1) & (2)

p1. p2 = -1 β b^2 = 2a^2

a^2/b^2 = 1/2

for ellipse's eccentricity,

e = β [1β(a^2/b^2)] = β [1β(1/2)] = 1/β2

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