If X and y are distinct rational numbers which of the following is true about x - y -2 -A- greater than both x and yB- less than both x and yC- between x and yD- less than x and greater than y

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Standard IX

Mathematics

Addition and Subtraction of Rational Numbers

If X and y ar...

Question

If $x$ and $y$ are distinct rational numbers which of the following is true about $\frac{x + y}{2}$ ?

less than x and greater than y

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greater than both x and y

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less than both x and y

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between x and y

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Solution

The correct option is D
between x and y

$\frac{x + y}{2}$ is the midpoint of the of two numbers $x$ and $y$ .

As we know that midpoint of any two numbers lies within the given numbers.

So, the value of $\frac{x + y}{2}$ lies within $x$ and $y$

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Similar questions

If x and y are distinct integers, which of the following is true about $\frac{x + y}{2}$ ?

Question 24
$\frac{x + y}{2}$ is a rational number
(a) Between x and y
(b) Less than x and y both.
(c) Greater than x and y both.
(d) Less than x but greater than y.

Question 24
$\frac{x + y}{2}$ is a rational number
(a) Between x and y
(b) Less than x and y both.
(c) Greater than x and y both.
(d) Less than x but greater than y.

In the following question, two equations are given. Solve both the equations and mark the corresponding answer, if:

a) x is greater than y

b) x is less than y

c) x is greater than or equal than y

d) x is less than or equal to y

e) x = y or a definite relationship between x & y cannot be established

2x $^{2}$ + 3x + 1 = 0

12y $^{2}$ + 7y + 1 = 0

In the following question, two equations are given. Solve both the equations and mark the corresponding answer, if:

a) x is greater than y

b) x is less than y

c) x is greater than or equal than y

d) x is less than or equal to y

e) x = y or a definite relationship between x & y cannot be established

I. x $^{2}$ + 4x + 4 = 0

II.y $^{2}$ - 8y + 16 = 0

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If x and y are distinct rational numbers which of the following is true about x+y2?

The correct option is D between x and y x+y2 is the midpoint of the of two numbers x and y. As we know that midpoint of any two numbers lies within the given numbers. So, the value of x+y2 lies within x and y

If $x$ and $y$ are distinct rational numbers which of the following is true about $\frac{x + y}{2}$ ?

The correct option is D
between x and y

$\frac{x + y}{2}$ is the midpoint of the of two numbers $x$ and $y$ .

As we know that midpoint of any two numbers lies within the given numbers.

So, the value of $\frac{x + y}{2}$ lies within $x$ and $y$