Find the A.M. between: (x - y) and (x + y) - Vidyadip

Question

Find the A.M. between: (x - y) and (x + y)

✓

Answer

(x - y) and (x + y) Let A be the arithem atic mean of (x - y) and (x + y) Then, $(\text{x}-\text{y}),\ \text{A},\ (\text{x}+\text{y})$ are in A.P $\Rightarrow\text{A}-(\text{x}-\text{y})=(\text{x}+\text{y})-\text{A}$ $\Rightarrow\text{A}=\frac{(\text{x}-\text{y})+(\text{x}+\text{y})}{2}=\frac{2\text{x}}{2}=\text{x}$ $\therefore$ A.M is x

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "(Each question 2 marks)" from Arithmetic Progressions→Arithmetic Progressions — all question types→MATHS STD 11 Science question papers→Gujarat Board STD 11 Science question papers→Gujarat Board question paper generator→

Similar questions

Find the equation of the line parallel to y-axis and drawn through the point of intersection of the lines x - 7y + 5 = 0 and 3x + y = 0

Determine the domain and range of the following relations: $\text{R}=\{(\text{a, b}):\text{a}\in\text{N},\text{a}<5,\text{b}=4\}$

Which term of the sequence $24,\ 23\frac{1}{4},\ 22\frac{1}{2},\ 21\frac{3}{4}...$ is the first negative term?

If the lines 2x + y - 3 = 0, 5x + ky - 3 = 0, 3x - y - 2 = 0 are concurrent, find the value of k.

Differentiate the following function with respect to x:$\text{x}^5\text{e}^\text{x}+\text{x}^6\log\text{x}$

If A = {1, 2, 3, 4, 5}, B = {4, 5, 6, 7, 8}, C = {7, 8, 9, 10, 11}, and D = {10, 11, 12, 13, 14}. Find: $\text{A}\cap(\text{B}\cup\text{C})$

Find $\lim\limits_{\text{x}\rightarrow1}\text{f(x)}$ if $\text{f(x)}=\begin{cases}\text{x}^2-1, & \text{x} \le1\\-\text{x}^2-1, &\text{x} > 1\end{cases}.$

In a simultanepous throw of a pair of dice, find the probability of getting,Odd number on the first and 6 on the second.

Solve $x^2 + 2 = 0$

Find the sum of the series: 3 + 5 + 7 + 6 + 9 + 12 + 9 + 13 + 17 + ... to 3n terms.