Question

1. Assertion : Rational number lying between two rational numbers x and y is (x + y).
Reason: There is one rational number lying between any two rational numbers.
(a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation
of assertion (A).
(b)Both assertion (A) and reason (R) are true but reason (R) is not the correct
explanation of assertion (A).
(c) Assertion (A) is true but reason (R) is false.
(d)Assertion (A) is false but reason (R) is true.​

Answer 1

Answer:

the ans is c

Step-by-step explanation:

I said reason is false

Answer 2

SOLUTION

GIVEN

Assertion : Rational number lying between two rational numbers x and y is (x + y)/2

Reason: There is one rational number lying between any two rational numbers.

TO CHOOSE THE CORRECT OPTION

(a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).

(b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).

(c) Assertion (A) is true but reason (R) is false.

(d)Assertion (A) is false but reason (R) is true.

EVALUATION

Assertion :

Rational number lying between two rational numbers x and y is (x + y)/2

Explanation :

We know that if x and y are two rational numbers with x < y

Then we have

$\sf \: x < \dfrac{x +y }{2} < y$

Thus the Assertion is correct

Reason :

There is one rational number lying between any two rational numbers.

Explanation :

Between two rational numbers there are infinite number of rational numbers

So reason is not correct

FINAL ANSWER

Hence the correct option is

(c) Assertion (A) is true but reason (R) is false.

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

$1.$ The decimal expansion of 49/2³5³

contains six digits after the decimal point.

https://brainly.in/question/36368731

2. Without actually dividing find which of the following are terminating decimals.

i. 3/25 ii. 11/18 iii. 13/20 iv. 41/42

https://brainly.in/question/135746

3. without actually performing the long division state whether 13/3125 and 13/343 will have a terminating decimal expansion...

https://brainly.in/question/23797327