Class 10

Math

Algebra

Sequences and Series

Find the sum of first 25 terms of an A.P. whose nth term is $1−4n$

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The least value of $e_{sin_{−1}x}+e_{cos_{−1}x}$ is

If x > 0, then the minimum value of $x_{1000}+x_{900}+x_{90}+x_{6}+x1996 $ is

Insert $17$ arithmetic means between $321 and −4121 $.

For any triangle ABC which is not equilateral, the expression $(b+c−a)(c+a−b)(a+b−c)−abc$ is

Find all possible integers whose geometric mean is $16$.

In $△ABC,∑(sinAsin_{2}A+sinA+1 )$ is always greater than

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

The time taken by Rohan in five different races to run a distance of 500 m was 3.20 minutes, 3.37 minutes, 3.29 minutes, 3.17 minutes and 3.32 minutes. Find the average time taken by him in the races.