class 11

Math

Algebra

Sequences and Series

There are n AM's between 1 & 31 such that $7thmean:(n−1)thmean=5:9$, then find the value of n.

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If $sinβ$ is the geometric mean between $sinα$ $cosα$ then $cos2β$ is equal to :

Find the geometric mean between $16$ and $81.$

For any two positive numbers,we have

If the product of two positive numbers is $256$ then the least value of their sum is

Find the G.M of $6$ and $24$

If $A$ and $G$ are A.M. and G.M. between two positive numbers $a$ and $b$ are connected by the relation A+G=a-b then the numbers are in the ratio

If $x_{2}+y_{2}+z_{2}=1$ then the value of $xy+yz+zx$ lies in the interval

The sum of two numbers is $261 .$ An even number of arithmetic means are being inserted between them and their sum exceeds their number by 1. Find the number of means inserted.