[Kavita]

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Can you please suggest me some Tips, Tricks and Shortcuts for Maths for Maharashtra CET exam?

[prince karak]

Don’t worry I will sugest you Maharashtra CET exam, Tips,Tricks and Shortcuts for Maths section so that you can get idea.

Here are some tips

If certain conditions are given, look for the options that satisfy the condition .

If an equation is asked then substitute the values in the option in the equation .

Use Trial and Error Method / Elimination method .

For co-ordinate geometry , draw graphs according to equations given and predict the answer .

The first step in Mathematics is mostly crucial and may require Simplification . Here are techniques of SImplifications that you should try : 1. Rationalizing 2. Plus & Minus 3. Multiplying and Dividing 4. Dividing Throughout by 5.Splitting the Numerator 6. Squaring on Both Sides

Here are some Tricks and Shortcuts
Mathematical Logic
Matrices
Do Adjoint first or transpose/square/other operation first , the answer is same .

Try to use the options for finding the answer , rather than solving the entire sum .

Use properties of determinants to simplify a given matrix .

Trigonometric Equations
For General Solution , bring the equation in one of the sandard forms . This can be done by using factorization formulae (i.e. to convert from addition to multiplication) .

For Solutions of Triangle problems , the following techniques should be used :
sin
a2, b2,c2
A + B + C = 180
Half Angle
Factorization formulae

Pair of Straight Lines
Use Auxillary Equation for finding slopes .

For point of intersection of pair of lines, substitute the points in the combined equation

For Area of triangle whose sides are given by a combined equation and equation of the third side is given , then find height by perpendicular distance formula and Area = (height)2 / √3

Planes
The coefficients of x,y,z in equation of a plane ar the direction ratios of the Normal to the Plane .
The line of intersection of two planes is perpendicular to the normals of both the planes .

Linear Programming Problems
Use Trial & Error Method .

Continuity
If the Question is of the form 0/0 , then apply L'Hôpital's Rule

Differentiation
For Implicit , use shortcut .

Application of Derivatives
Integration
For Indefinite Integration ; Differentiate the options to reach the Question .
For u.v ; use the shortcut
Use simplification techniques listed in point 5 of Critical Tips . Mostly , in integration , the first step is important .
For sine - cosine integrals , mostly dividing numerator and denominator with cos2x gives the answer.

Definite Integration
Application of Definite Integration
Draw Rough Graph for better understanding of question .
Area Shortcuts :
Area bounded by parabola y2 = 4ax and line y = mx ; Area = 8a2/3m3
Area bounded by parabola x2 = 4by and line y = mx ; Area = 8b2m3/3
Area bounded by parabola y2 = 4ax and its latus rectum ; Area = 8a2/3
Area bounded by parabola x2 = 4by and its Latus Rectum ; Area = 8b2/3
Area bounded by parabolas y2 = 4ax and x2 = 4by ; Area = 16ab/3