Home
Class 12
MATHS
Let p be the statement ''x is an irratio...

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 `~(p iff~q)`.

A

Statement-1 is true, statement-2 is true, statement-2 is a correct explanation for statement-9

B

Statement-1 is true, statement-2 is true, statement-2 is not a correct explanation for statement-9

C

Statement-1 is true, statement-2 is false

D

Statement-1 is false, statement-2 is true

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • UNIT TEST PAPER NO.3

    MODERN PUBLICATION|Exercise ASSERTION-REASON & COLUMN MATCHING TYPE QUESTIONS (SECTION-B COLUMN MATCHING TYPE QUESTIONS)|4 Videos
  • UNIT TEST PAPER NO.3

    MODERN PUBLICATION|Exercise ASSERTION-REASON & COLUMN MATCHING TYPE QUESTIONS (SECTION-B COLUMN MATCHING TYPE QUESTIONS)|4 Videos
  • UNIT TEST PAPER NO. 6 (THREE - DIMENSIONAL GEOMETRY, VECTORS & PROBABILITY)

    MODERN PUBLICATION|Exercise Select the correct answer|25 Videos
  • VECTOR ALGEBRA

    MODERN PUBLICATION|Exercise RECENT COMPETITIVE QUESTION|11 Videos

Similar Questions

Explore conceptually related problems

The statement p rarr(q rarr p) is equivalent to

Write the negotion of the statement " sqrt2 is a rational number".

Statement-1 : ~(p iff~q) is equivalent to p iffq Statement-2 : ~(p iff~q) is tautology.

Identify the type of 'or ' used in statement '' sqrt( 2) is a rational number or an irrational number

If R is the set of real numbers and Q is the set of rational numbers, then what is R – Q ?

Are the following pairs of statements negations of each other: The number x is a rational number. The number x is an irrational number.

Let r be a rational number and x be an irrational number. Use proof by contradiction to show that r+x is an irrational number.

Negation of the statement p t (q ^^ r) is

P ^^ (q ^^ r) is logically equivalent to

Are the following pairs of statements negations of each other: The number x is not a rational number. The number x is not an irrational number.