Question

If l, k, 3 are in H.P., then the value of k :-
(a)2
(b)2/3
(c)3/2
(d)1/2​

Answer 1

Answer:

1/2 is a correct answer

Step-by-step explanation:

1/2

Answer 2

Answer:

The value of k is 3/2.

Step-by-step explanation:

Given that 1, k, 3 is in HP

We know that if a, b, c is in HP,

then 1/a , 1/b , 1/c is in AP

When they will be in AP,

then as the common difference is 1/b - 1/a or 1/c - 1/b

Therefore, here, in this question,

1, 1/k, 1/3 is in AP

=> 1/k - 1 = 1/3 - 1/k

=> 1/k + 1/k = 1/3 + 1

=> 2/k = (1+3)/3

=> 2/k = 4/3

=> 1/k = 2/3

=> k =3/2

Therefore, the value of k is 3/2.