New chat PYQ Library Doubts Rank report

Sign in to see Recents

Sign in to save progress →

Sequences and Series question

2017 · 8 Apr · Shift 1 · Q27

Guest · try one question or challengeGuest · try one question or challenge

PYQ Library
JEE Main
Mathematics
Sequences and Series
2017 · 8 Apr · Shift 1 · Q27

Sequences and Series question

2017 · 8 Apr · Shift 1 · Q27

JEE MainMathematicsSequences and SeriesMCQ+4 / −1

If the arithmetic mean of two numbers a and b, a > b > 0, is five times their geometric mean, then

{{a + b} \over {a - b}}

is equal to :

A
${{\sqrt 6 } \over 2}$
B
${{3\sqrt 2 } \over 4}$
C
${{7\sqrt 3 } \over {12}}$
D
${{5\sqrt 6 } \over {12}}$

More from Sequences and Series

If three positive numbers a, b and c are in A.P. such that abc = 8, then the minimum possible value of b is :2017 · MCQ
Let x, y, z be positive real numbers such that x + y + z = 12 and x3y4z5 = (0.1) (600)3. Then x3 + y3 + z3is equal to :2016 · MCQ
Let a1, a2, a3, . . . . . . . , an, . . . . . be in A.P. If a3 + a7 + a11 + a15 = 72, then the sum of its first 17 terms is equal to :2016 · MCQ
If A > 0, B > 0 and A + B = $\frac{π}{6}$ , then the minimum value of tanA + tanB is :2016 · MCQ
If the $2^{n d}, 5^{t h} an d 9^{t h}$ terms of a non-constant A.P. are in G.P., then the common ratio of this G.P. is :2016 · MCQ
If m is the A.M. of two distinct real numbers l and n $(l, n > 1)$ and $G_{1}, G_{2}$ and $G_{3}$ are three geometric means between $l$ and n, then $G_{1}^{4} + 2 G_{2}^{4} + G_{3}^{4}$ equals:2015 · MCQ
Three positive numbers form an increasing G.P. If the middle term in this G.P. is doubled, the new numbers are in A.P. then the common ratio of the G.P. is :2014 · MCQ
A man saves ₹ 200 in each of the first three months of his service. In each of the subsequent months his saving increases by ₹ 40 more than the saving of immediately previous month. His total saving from the start of service will be ₹…2011 · MCQ