In the following questions (Q. 4.1-4.5) a statement of Assertion is followed by a statement of Reason. Mark the correct choice as : (a) Both Assertion and Reason are true and Reason is the correct explanation of Assertion. (b) Both Assertion and Reason are true but Reason is not the correct explanation of Assertion. (c) Assertion is true but Reason is false. (d) Assertion is false but Reason is true. (1mark) (4.1) Assertion - 5 is a rational number. Reason:-the square roots of all positive integers are irrational. (4.2) Assertion -2+ V3 is an irrational number. (1mark) Reason-sum of rational number and an irrational number is always an irrational number. (4.3) Assertion:- (113 JX(11) = 1112, (1mark) Reason-If a>0 be a real number and p and q be rational numbers then (aP)(a") = aPta, (4.4) Assertion:-0.329 is a terminating decimal. (1mark) Reason- A decimal in which digit or a set of digits is repeated periodically is called a repeating or a recurring decimal. (4.5) Assertion:- Rational number lying between two rational numbers x and y is (1mark)
Answers
Answered by
6
Solution :-
(4.1) Assertion :- 5 is a rational number.
- 5 can be written as (5/1) which is in the form of p/q where q ≠ 0 .
- True
Reason :- The square roots of all positive integers are irrational.
- 4 is a positive integers and square root of 4 is 2 which is a rational number .
- False .
therefore, option (c) Assertion is true but Reason is false is correct answer .
(4.2) Assertion :- 2 + √3 is an irrational number.
- 2 = Rational number .
- √3 = Irrational number .
- True .
Reason :- sum of rational number and an irrational number is always an irrational number.
- Rational number + Irrational number = Irrational number .
- 2 + √3 = Irrational number .
therefore, option (a) Both Assertion and Reason are true and Reason is the correct explanation of Assertion is correct answer .
Learn more :-
prove that √2-√5 is an irrational number
https://brainly.in/question/37780143
Similar questions