Practice Paper on Calculus + Vectors + Complex Numbers

8/7/2019 Practice Paper on Calculus + Vectors + Complex Numbers

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Practice paper on Calculus, Vectors and Complex Numbers

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Spend 3 hours to answer all 11 questions. Maximum marks is 100.

Q1 Vectors (lines)

Q2 Differentiation techniques

Q3 Maclaurin’s expansion

8/7/2019 Practice Paper on Calculus + Vectors + Complex Numbers

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Q4 Tangents and normals

Q5 Loci

Q6 Polynomials with complex roots

8/7/2019 Practice Paper on Calculus + Vectors + Complex Numbers

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Q7 Maxima and minima

Q8 Differential equations

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Q9 Integration techniques

(c) 2cos3 cos ec 3

dsin 3 cot 3

 x x

 x

 x x

−

+∫  [2]

Q10 Vectors (lines and planes)

8/7/2019 Practice Paper on Calculus + Vectors + Complex Numbers

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Q11 Areas and volumes

*** End of practice paper ***

Acknowledgement: Questions are from NYJC JC 2 Block Test 2011, PJC Prelim 09Exam, IJC Prelim 09 Exam, SRJC Promo 2010 Exam.