k:[(k^2)-1]]::6:5, so k will be (It is given that k is a positive number)

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01 Jul 2011 k

k:[(k^2)-1]]::6:5, so k will be (It is given that k is a positive number)

OPtion

1) 0.5
2) 1.0
3) 1.5
4) 2.0
5) 2.5
6) 3.0
7) 3.5
8) 4.0
9) 4.5
10) none of these

Solution

k/[(k^2)-1] = 6/5
implies k/[(k^2)-1] = 1.5/1.25
implies k/[(k^2)-1] = 1.5/(2.25-1)
implies k/[(k^2)-1] = 1.5/(1.5^2-1)
so k = 1.5

Correct Option: 3 Best Solution (14)

Saranjit Singh   13 years AGO

k:[(k^2)-1]]::6:5,
k/[(k^2)-1]]=6/5,
k=1.5

Like? Yes (4) | No (1)  

reya   13 years AGO

6k^2-6=5k
k=-2/3 or k=3/2

Like? Yes (4) | No (2)  

Balakumaran N.A   13 years AGO

by rewriting, k/(k^2-1)=6/5;
then, 6k^2-5K-6=0 , by solving this k=3/2;

Like? Yes (2) | No   

Suman   13 years AGO

6k^2-5k-6=0;
then k=1.5;

Like? Yes (2) | No   

Vasu   13 years AGO

k:[(k^2)-1]]::6:5,
5k = 6*k^2-6
6k^2-5k-6=0
solving it, we get k =3/2 = 1.5

Like? Yes (4) | No (2)  

Navneet Madhukar   13 years AGO

(k/k^2-1)=6/5
6k^2-6=5k
6k^2-5k-6=0
on solving,we will get the value of k=3/2=1.5

Like? Yes (3) | No (1)  

Aparajita Chowdhury   13 years AGO

given,k:[(k^2)-1]::6:5
or,k/[(k^2)-1]=6/5
or,6k^2-5k-6=0
or,(3k+2)(2k-3)=0
as k>0,2k-3=0
or,k=3/2=1.5

Like? Yes (2) | No   

Ranjana Sinha   13 years AGO

5k = 6K^2 - 6;
6k^2 - 5k -6 =0;

solving the equation we get, k=1.5

Like? Yes (2) | No   

YadeeshKumar   13 years AGO

k/k^2-1 = 6/5
6k^2-5k-6=0
6k^2+4k-9k-6=0
(3k+2)(2k-3)=0
3k+2=0 or 2k-3=0
k=-2/3 leave that
2k-3=0 --> k= 3/2 = 1.5

Like? Yes (3) | No (2)  

Karthick Babu   13 years AGO

1.5:1.25::6:5
150:125::6:5
6:5::6:5
opt 3

Like? Yes (2) | No (1)  

sowmya   13 years AGO

k:(k^2-1)::6:5
product of extremes=product of means
so,5k=6(k^2-1)
=>6k^2-5k-6=0
=>k=3/2=>1.5
ans:option 3

Like? Yes (3) | No (2)  

dharmil   13 years AGO

k/[(k^2)-1]=5:6
so 6k^2-5k-6=0
by solving equation
we get k=3/2,-2/3
since negative value is not possible
k=3/2=1.5

Like? Yes (2) | No (1)  

SHILPI RAKSHIT   13 years AGO

k/(K^2-1)=6/5
5k=6k^2-6
6k^2-5k-6=0
(2k-3)(3-2)=0
2k-3=0
k=1.5

Like? Yes (1) | No   

Inder   13 years AGO

By seeing the eqn , one can easily observe that

1

Like? Yes (1) | No (1)