To help you bust your maths doubts, Topper organised a live chat on March 17 and 19 for students of Class XII.
Maths whizzes Prateeksha and Neha answered these questions:
Kanan: Mam shud i construct my own paper considering cbse sample papers n der blue prints .. bt wt i analysed this time around in chemistry paper (as i tried to construct my own paper for it too ) that it had been a mixture of the three blue prints of the sample paper .... shud i do the same fr maths even or the three sample papers represent the 3 respective sets of the main paper ??
Prateeksha Joshi and Neha Agarwal: Dear kanan, please do not waste time in constructing your own paper. Try solving mock papers.
****
Gurusharan: How do we practice for vectors, since most of the questions asked are very different from the text book miscellaneous exercise?
Prateeksha Joshi and Neha Agarwal: Hi, practice these questions: 1. What’s HOTS? 2. Mock papers
****
Sameer: Sir how to proceed fr questions on diffrential equation...... n after referrin to the blue prints of the sample papers wich question according to you can be asked from application of derivatives.
Prateeksha Joshi and Neha Agarwal: Dear Sameer, there are three types of differential equations -- separable homogeneous and linear. Understand how to identify and then solve each with the appropriate method.
Well, from application of derivative question could be from any of the topics of increasing decreasing, maxima-minima approximation or tangent normals. However, 6-mark question are expected to be from maxima-minima.
****
Azad: Any advice on how to write the paper properly ....and what do examiner usually look for ....!!
Prateeksha Joshi and Neha Agarwal: Dear Azad, the points that you should keep in mind: do not get tense and write each step, clearly. Give reasons for what you write, as far as possible. Be neat and clear. Examiner look for step-wise solutions and presentations.
****
Ankit Bhatnagar: In integrals will there be q's outside from ncert ,as this is the most detailed chapter and already many tricky q's are include in misc.
Prateeksha Joshi and Neha Agarwal: Dear Ankit, questions on integrals will be based on the type of questions given in NCERT. To solve more integral problems, refer to these sections: 1. Study online , 2. What’s HOTS?
****
Azad: From which lessons can HOTS be expected most ..!!
Prateeksha Joshi and Neha Agarwal: Hey Azad, 20% of the paper will be of HOTS and these questions can be from any topic. Practice by visiting What's HOTS?.
Niveditajha009: Could we expect for the same level of paper this time?
Prateeksha Joshi and Neha Agarwal: Dear Nivedita, more or less the level of difficulty of the question paper remains same. This time 20% of the paper will test HOTS. Refer to What's HOTS?
****
Rohan: Using integration by parts by taking logx as first function and 1/(1-x^2)^{1/2} as second function, the answer is not coming. So, please solve it.
Prateeksha Joshi and Neha Agarwal: Dear Rohan, by integrating it by parts, we get the second term as integral of dx upon x(1-x^2)^(1/2). In this term, substitute x=sin theta and solve. We get the second term equal to integral of cosec theta d theta which is log(cosec theta + cot theta).
****
Azad: Can u tell me some difficult questions in integration and 3-d geometry in the NCERT text.
Prateeksha Joshi and Neha Agarwal: Try the miscellaneous exercise of NCERT. Solve these HOTS problems
DON'T MISS!
Ankit Bhatnagar: Maa'm can u advice me how to score perfect 100 marks, as i know my stuff , but lose marks unnecessarily.
Prateeksha Joshi and Neha Agarwal: Hey ankit, make sure you have enough time to revise after solving the paper. Don't waste unnecessary time on questions where you get stuck. Stay calm.
****
Srikant Mahapatra: Please integrate (Qs from NCERT Ex. 7.5) 6 8 9 20 18
Prateeksha Joshi and Neha Agarwal: Dear Srikant, these questions can be solved using partial fractions. For example, in the 6th question (1-x^2)/(x(1-2x)), write the integral as A/x+ B/(1-2x) = (1-x^2)/(x(1-2x)). On solving we get A = 1 and B =2. Integral will be 1/x+ 2/(1-2x), which can be integrated easily. Visit and practice exam cracker.
****
Aniruddh sahai: Integrate from 0 to 2: ∫ x√(2-x)
Prateeksha Joshi and Neha Agarwal: Hey anirudh, for solving Substitute sqrt(2-x) = u Then x = 2-u2 When x = 0 u =sqrt 2 and when x = 2 u = 0. So, the integral will become 0 to sqrt 2 (2u-u^3 ) du which can be easily integrated.
