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  #2  
20th September 2014, 01:07 PM
Super Moderator
 
Join Date: Apr 2013
Re: Tips To Crack 2nd PUC Maths Supplementary Exam

Here I am suggesting few tips to crack 2nd PUC Maths Supplementary Exam which you are looking for .

But pattern of the questions will be same as in previous year question papers.

Practicing problems of last year questions is enough to prepare for Mathematics.

If you are selecting, cover the following areas:

Algebra

Matrices and determinants:

a) Statement of cayley Hamilton theorem and finding inverse of matrix and verifying cayley Hamilton theorem

b) Solving the simultaneous equation by cramer’s rule and matrix method

Vectors

a) Problems on scalar triple product and vector triple product.(standard problems)

b) Application of vectors like: proving sine rule, projection rule, cosine rule, compound angle formulae, angle in a semicircle is right angle by vector method

c)Find the projection of one vector to another vector , find the sine or cosine of angle between the vectors, unit vector in the direction of vector,

Groups

a)Proving a particular set forms an abelian group like Show that a*b=a+b-ab forms an abelian group, Show that G={5^n, (integral multiples of 5) } forms an abelian group etc refer topic wise questions in mathematics in this website.

Elements of Number theory :

a) Find the number and sum of divisors

b) Finding GCD of two numbers and representing them as a linear combination of x and y and showing x and y is not unique

c)Finding the last digit or unit digit, solving linear congruence.

Trigonometry

Inverse trigonometric functions:

a)problems on use of formula tan^-1 x + tan^1 y= tan^1(x+y/1-xy) etc

Genereal Solution Of Trigonometric Equation

a) GS by using Formula Of Converting sum of trigonometric functions into product or product into sum

b) GS of trignometric equation of the form acosx+bsinx=c

Complex Numbers

a) problems on this, see topic wise questions in this website.

b) State and prove Demoivre’s theorem

Circles

a)all derivations: equation of tangent, condition of orthogonality, finding length of tangent, condition for the line y=mx+c to be tangent to to circle x^2+y^2 =a^2

b)problems on orthoganal circles, and finding equation of circle by finding g, f and c using conditions in the given problem.

Conic section:

a) problems on finding centre , focus, directrix and ends of Latus rectum of parabola , ellipse and Hyperbola,

b) all derivations: Derivation of parabola, ellipse and Hyperbola

c)Definition of rectangular hyperbola, director circle, auxilary circle and its equations

Differentiation:

a) problem on successive differentiation, logarithmic differentiation , parametric differentiation

b) problems on differentiation from first principles: no need to solve differentiation of inverse trigonometric function by first principles and some problems like root sinx, sinrootx etc.

implicit differentiation (refer topic wise questions- it contains limited number of questions).

Application Of Derivatives

a) Angle of intersection between two curves: like: If ax^2+by^2=1 and Ax^2+By^2=1 cut each other orthogonally , show that 1/a-1/b=1/A-1/B

b) Problems on Derivative as a rate measure, problems on finding maxima and minima involving 2 dimensions figure only( Don’t go for problems on finding maxima and minima involving figures like , sphere, cylinder, etc)

Indefinite integral:

a)problems on forms of integral, all types

Definite Integral

Proving some properties of definite integral, and problems using definite integral.
  #3  
20th February 2016, 10:04 AM
Unregistered
Guest
 
Re: Tips To Crack 2nd PUC Maths Supplementary Exam

Hello sir ! Unfortunately I got supplementary in Maths exam can you please give some preparation tips to crack 2ND PUC maths supplementary exam ?
  #4  
20th February 2016, 10:04 AM
Super Moderator
 
Join Date: May 2012
Re: Tips To Crack 2nd PUC Maths Supplementary Exam

Hello buddy as you want here we give you preparation tips to crack maths supplementary exam
First of all you needs to more hard work and smart study .
Here we provide you Maths syllabus

Practicing problems of last year questions is enough to prepare for Mathematics.

If you are selecting, cover the following areas:

Algebra

Matrices and determinants:

a) Statement of cayley Hamilton theorem and finding inverse of matrix and verifying cayley Hamilton theorem

b) Solving the simultaneous equation by cramer’s rule and matrix method

Vectors

a) Problems on scalar triple product and vector triple product.(standard problems)

b) Application of vectors like: proving sine rule, projection rule, cosine rule, compound angle formulae, angle in a semicircle is right angle by vector method

c)Find the projection of one vector to another vector , find the sine or cosine of angle between the vectors, unit vector in the direction of vector,

Groups

a)Proving a particular set forms an abelian group like Show that a*b=a+b-ab forms an abelian group, Show that G={5^n, (integral multiples of 5) } forms an abelian group etc refer topic wise questions in mathematics in this website.

Elements of Number theory :

a) Find the number and sum of divisors

b) Finding GCD of two numbers and representing them as a linear combination of x and y and showing x and y is not unique

c)Finding the last digit or unit digit, solving linear congruence.

Trigonometry

Inverse trigonometric functions:

a)problems on use of formula tan^-1 x + tan^1 y= tan^1(x+y1-xy) etc

Genereal Solution Of Trigonometric Equation

a) GS by using Formula Of Converting sum of trigonometric functions into product or product into sum

b) GS of trignometric equation of the form acosx+bsinx=c

Complex Numbers

a) problems on this, see topic wise questions in this website.

b) State and prove Demoivre’s theorem

Circles

a)all derivations: equation of tangent, condition of orthogonality, finding length of tangent, condition for the line y=mx+c to be tangent to to circle x^2+y^2 =a^2

b)problems on orthoganal circles, and finding equation of circle by finding g, f and c using conditions in the given problem.

Conic section:

a) problems on finding centre , focus, directrix and ends of Latus rectum of parabola , ellipse and Hyperbola,

b) all derivations: Derivation of parabola, ellipse and Hyperbola

c)Definition of rectangular hyperbola, director circle, auxilary circle and its equations

Differentiation:

a) problem on successive differentiation, logarithmic differentiation , parametric differentiation

b) problems on differentiation from first principles: no need to solve differentiation of inverse trigonometric function by first principles and some problems like root sinx, sinrootx etc.

implicit differentiation (refer topic wise questions- it contains limited number of questions).

Application Of Derivatives

a) Angle of intersection between two curves: like: If ax^2+by^2=1 and Ax^2+By^2=1 cut each other orthogonally , show that 1a-1b=1A-1B

b) Problems on Derivative as a rate measure, problems on finding maxima and minima involving 2 dimensions figure only( Don’t go for problems on finding maxima and minima involving figures like , sphere, cylinder, etc)

Indefinite integral:

a)problems on forms of integral, all types

Definite Integral

Proving some properties of definite integral, and problems using definite integral.


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