info@clay6.com
+91-9566306857
(or)
+91-9176170648
Ask Questions, Get Answers
Menu
X
JEEMAIN Crash Practice
15 Test Series
NEET Crash Practice
15 Test Series
JEEMAIN
Math
Physics
Chemistry
Practice Test Series
NEET
Physics
Chemistry
Biology - XII
Biology - XI
studyplans
JEEMAIN Crash Practice
15 Test Series
NEET Crash Practice
15 Test Series
JEEMAIN
Math
Physics
Chemistry
Practice Test Series
NEET
Physics
Chemistry
Biology - XII
Biology - XI
mobile
exams
ask
sample papers
tutors
pricing
login
X
ASK
Home
>>
JEEMAIN and NEET
>>
Mathematics
>>
Class11
>>
Sequence and Series
If a,b,c are real and $\;4a^2+9b^2+16c^2-6ab-12bc-8ac=0\;$ the a,b,c are in
$(a)\;AP\qquad(b)\;GP\qquad(c)\;HP\qquad(d)\;None\;of\;these$
jeemain
math
class11
ch9
sequences-and-series
medium
relationship-between-ap-and-gm
q155
Share
asked
Jan 22, 2014
by
yamini.v
retagged
Sep 1, 2014
by
sharmaaparna1
Please
log in
or
register
to add a comment.
Please
log in
or
register
to answer this question.
1 Answer
Answer : (c) HP
Explanation : Multiplying by 2 we get ,
$8a^2+18b^2+32c^2-12ab-24bc-16ac=0$
$(2a-3b)^2+(3b-4c)^2+(4c-2a)^2=0$
$2a=3b=4c$
a , b , c are in HP.
answered
Jan 22, 2014
by
yamini.v
Please
log in
or
register
to add a comment.
Related questions
If arithmetic, geometric and harmonic means between two positive real numbers is A, G and H respectively, then, which of the following is true?
jeemain
math
class11
ch9
sequences-and-series
easy
relationship-between-ap-and-gm
q82
asked
Jan 17, 2014
by
yamini.v
1
answer
If a , b , c are in AP and A.G are arithmetic and geometric mean , between a and b while $\;A^{|}\;and\;G^{|}$ are A.M and G.M between B and C . then
jeemain
math
class11
ch9
sequences-and-series
medium
relationship-between-ap-and-gm
q161
asked
Jan 22, 2014
by
yamini.v
1
answer
If $a , b , c$ are three numbers in GP . and $\;a+x\;,b+x\;,c+x\;$ are in HP then $x$ equals
jeemain
math
class11
ch9
sequences-and-series
medium
relationship-between-ap-and-gm
q160
asked
Jan 22, 2014
by
yamini.v
1
answer
If $a, b, c$ are in AP and $a^2$, $b^2$, $c^2$ in GP, and $a+b+c=\frac{3}{2}$, then value of $c$ is
jeemain
math
class11
ch9
sequences-and-series
easy
relationship-between-ap-and-gm
q99
asked
Jan 20, 2014
by
yamini.v
1
answer
If $a, b, c$ are in $AP$ and $a^2,b^2,c^2$ are in $HP$, how are $a, b$ and $\large\frac{-c}{2}$ related?
jeemain
math
class11
ch9
sequences-and-series
easy
relationship-between-ap-and-gm
q31
asked
Jan 2, 2014
by
yamini.v
1
answer
Among 5 numbers a, b, c, d and e the relationships are: a, b, c are in AP and b, c, d are in GP and c, d, e are in HP. Find b, c, d if a = 2 and e = 18.
jeemain
math
class11
ch9
sequences-and-series
easy
relationship-between-ap-and-gm
q2
asked
Dec 30, 2013
by
yamini.v
2
answers
If the p and q are roots of the equation $x^2-7x+A=0\;\xi\;r\;\xi\;s$ are roots of equation $x^2-19x+B=0,$ find the values of $A\;\xi\;B$ if p,q,r,s are in AP.
jeemain
math
class11
ch9
sequences-and-series
easy
relationship-between-ap-and-gm
q33
asked
Jan 2, 2014
by
yamini.v
1
answer
Ask Question
Tag:
Math
Phy
Chem
Bio
Other
SUBMIT QUESTION
►
Please Wait
Take Test
JEEMAIN Crash Practice
15 Test Series
NEET Crash Practice
15 Test Series
JEEMAIN
350+ TESTS
NEET
320+ TESTS
...
close