Sequences & Series · JEE Main previous year questions

2017 4 questions

1. Q72017 · 9 Apr 2017 · Shift 1

   If three positive numbers a, b and c are in A.P. such that $\mathrm{abc}=8$, then the minimum possible value of b is :

   1. A.$2$
   2. B.$4^{\frac{1}{3}}$
   3. C.$4^{\frac{2}{3}}$
   4. D.$4$
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   Answer: A

2. Q262017 · 9 Apr 2017 · Shift 1

   A tangent to the curve, $y=f(x)$ at $\mathrm{P}(x,y)$ meets x-axis at A and y-axis at B. If $\mathrm{AP}:\mathrm{BP}=1:3$ and $f(1)=1$, then the curve also passes through the point :

   1. A.$(\frac{1}{3},24)$
   2. B.$(\frac{1}{2},4)$
   3. C.$(2,\frac{1}{8})$
   4. D.$(3,\frac{1}{28})$
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   Answer: C

3. Q82017 · 8 Apr 2017 · Shift 1

   If the arithmetic mean of two numbers $a$ and $b$, $a>b>0$, is five times their geometric mean, then $\frac{a+b}{a-b}$ is equal to :

   1. A.$\frac{\sqrt{6}}{2}$
   2. B.$\frac{3\sqrt{2}}{4}$
   3. C.$\frac{7\sqrt{3}}{12}$
   4. D.$\frac{5\sqrt{6}}{12}$
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   Answer: D

4. Q252017 · 8 Apr 2017 · Shift 1

   If the sum of the first n terms of the series $\sqrt{3}+\sqrt{75}+\sqrt{243}+\sqrt{507}+\dots \dots$ is $435\sqrt{3}$, then n equals :

   1. A.$18$
   2. B.$15$
   3. C.$13$
   4. D.$29$
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   Answer: B