Class 11

Math

Algebra

Sequences and Series

Sides of a triangle ABC are in A.P if a < minimum {b,c}, then cos A is equal to:

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If $x,y∈R_{+}$ satisfying $x+y=3$, then the maximum value of $x_{2}y$ is

For any two positive numbers,we have

For any $x,y∈R,xy>0$ then the minimum value of $y_{3}2x +3x_{3}y +9x_{4}4y_{2} $ is

A.M. of $a−2$, $a$, $a+2$ is ____.

Find the geometric mean of the following pairs of numbers :$2$ and $8.$

Decreased by 7

For three numbers $a,b,c$ product of the average of the numbers, $a_{2},b_{2},c_{2}$ and $a_{2}1 ,b_{2}1 ,c_{2}1 $ cannot be less than

There are $n$ Arithmetic means between $13$ and $61.$ If ratio of the first $A.M$. and $(n−1)$ the $A.M.$ may be $16:55,$ then find $n.$