$. . . . . . .$ is a transcendental irrational number.

\sqrt{2}

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1

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π

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\sqrt{5}

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Solution

The correct option is B $π$
A transcendental no. is real or complex number that is not algebraic that is ,it is not a root of a non-zero polynomial equation with integer coefficients.
The best known transcendental no are $π$ .

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Q. Let p be the statement x is an irrational number, q be the statement y is a transcendental number, and r be the statement
x is a rational number iff y is a transcendental number.
Statement-1: r is equivalent to either q or p.
Statement-2: r is equivalent to

\sim (p \leftrightarrow\sim q)

Let p be the statement “x is an irrational number”, q be the statement “y is a transcendental number”, and r be the statement “x is a rational number if and only if y is a transcendental number”.
Statement-1 : $r i s e q u i v a l e n t t o e i t h e r q o r p$
Statememt-2 : $r i s e q u i v a l e n t t o (p \leftrightarrow\sim q)$

Q. Is π rational or irrational ? So which of the following can be the answer. It can't be both.....

(a) $\frac{22}{7}$ is a rational number but $π$ is an irrational number. Comment on this.

(b) Do the numbers $\frac{1}{3}$ and $\frac{- 5}{2}$ lie on the opposite sides of 0 on the number line?

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....... is a transcendental irrational number.

The correct option is B πA transcendental no. is real or complex number that is not algebraic that is ,it is not a root of a non-zero polynomial equation with integer coefficients.The best known transcendental no are π.

$. . . . . . .$ is a transcendental irrational number.

The correct option is B $π$
A transcendental no. is real or complex number that is not algebraic that is ,it is not a root of a non-zero polynomial equation with integer coefficients.
The best known transcendental no are $π$ .