CameraIcon

SearchIcon

MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Surds

Assertion: e ...

Question

Assertion: e is irrational number.
Reason: $π$ is an irrational number.
(a) Both Assertion and Reason are true and Reasom is a correct explanation of Assertion.
(b) Both Assertion and Reason and Reasom are true but Reasom is not a correct explanation of Assertion.
(c) Assertion is true and Reasom is false.
(d) Assertion is false and Reasom is true.

Open in App

Solution

(b) Both Assertion and Reason are true, but Reason is not a correct explanation of Assertion.

It is known that e and $π$ are irrational numbers, but Reason is not the correct explanation.

Suggest Corrections

thumbs-up

0

Similar questions

\sqrt{3}

is an irrational number.
Reason: The sum of rational number and an irrational number is an irrational number.
(a) Both Assertion and Reason are true and Reasom is a correct explanation of Assertion.
(b) Both Assertion and Reason and Reasom are true but Reasom is not a correct explanation of Assertion.
(c) Assertion is true and Reasom is false.
(d) Assertion is false and Reasom is true.

\sqrt{3}

is an irrational number.
Reason: Square root a positive integer which is not a perfect square is an irrational number.
(a) Both Assertion and Reason are true and Reasom is a correct explanation of Assertion.
(b) Both Assertion and Reason and Reasom are true but Reasom is not a correct explanation of Assertion.
(c) Assertion is true and Reasom is false.
(d) Assertion is false and Reasom is true.

Q. Assertion: Three rational numbers between

\frac{2}{5} and \frac{3}{5} are \frac{9}{20}, \frac{10}{20} and \frac{11}{20}

.
Reason: A rational number between two rational numbers p and q is

\frac{1}{2} (p + q)

.
(a) Both Assertion and Reason are true and Reasom is a correct explanation of Assertion.
(b) Both Assertion and Reason and Reasom are true but Reasom is not a correct explanation of Assertion.
(c) Assertion is true and Reasom is false.
(d) Assertion is false and Reasom is true.

Q. Assertion (A)

\sqrt{8}

is an irrational number.
Reason (R)
If m is a natural number which is not a perfect square, then

\sqrt{m}

is irrational.

(a) Both Assertion (A) and Reason (R) are true and Reason (R) is a correct explanation of Assertion (A).
(b) Both Assertion (A) and Reason (R) are true but Reason (R) is not correct explanation of Assertion (A).
(c) Assertion (A) is true and Reason (R) is false.
(d) Assertion (A) is false and Reason (R) is true.

Q. Assertion: The probability of a sure event is 1.
Reason: Let E be an event. Then,

0 \leq P (E) \leq 1

.
(a) Both Assertion and Reason are true and Reason is a correct explanation of Assertion.
(b) Both Assertion and Reason are true but Reason is not a correct explanation of Assertion.
(c) Assertion is true and Reason is false.
(d) Assertion is false and Reason is true.

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Surds and Rationalization of Surds

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Standard IX Mathematics

Join BYJU'S Learning Program

CrossIcon