Question

Assertion : Rational number lying between two rational numbers a and b is (a + b)/2. Reason : There is one rational number lying between any two rational numbers
both A and R are true and R is the correct explanation of A.
If both A and R are true and R is not the correct explanation of A.
If A is true but R is false.
If A is false but R is true.
If both A and R are false​

Answer 1

Answer:

answer is c

Step-by-step explanation:

because there are infinite rational number between any two rational number

Answer 2

SOLUTION

GIVEN

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

Explanation :

We know that if a and b are two rational numbers with a < b

Then we have

$\sf \: a < \dfrac{a +b }{2} < b$

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.

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