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April 3rd, 2017, 12:03 PM
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Join Date: Mar 2012
Re: MHT CET Maths Shortcuts

Maharashtra – Common Entrance Test (MH-CET) is a test conducted annually by the State Common Entrance Test Cell of the Government of Maharashtra. It is the criterion for admission to first-year full-time degree courses of Health Sciences (MBBS, BDS, BAMS, BHMS, BUMS, BPTh, BOTh, BASLP, BP&O and BSc. Nursing, B.V.Sc. & AH) and Technical Education (Engineering and Technology, Pharmacy and Pharm. D.).



Tips and Tricks for Solving the MHTCET Exam

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 .

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.


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