Home
Class 11
MATHS
Given below are two pairs of statements....

Given below are two pairs of statements. Combine these two statements using ''if and only if ''.
p: If a rectangle is a square, then all its four sides are equal. q: If all the four sides of a rectangle are equal, then the rectangle is a square.

Answer

Step by step text solution for Given below are two pairs of statements. Combine these two statements using ''if and only if ''. p: If a rectangle is a square, then all its four sides are equal. q: If all the four sides of a rectangle are equal, then the rectangle is a square. by MATHS experts to help you in doubts & scoring excellent marks in Class 11 exams.

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • MATHEMATICAL REASONING

    NCERT BANGLISH|Exercise EXERCISE 14.1|11 Videos

  • MATHEMATICAL REASONING

    NCERT BANGLISH|Exercise EXERCISE 14.2|10 Videos

  • LINEAR INEQUALITIES

    NCERT BANGLISH|Exercise EXERCISE (Miscellaneous Exercise on Chapter 6)|4 Videos

  • PERMUTATIONS AND COMBINATIONS

    NCERT BANGLISH|Exercise Miscellaneous Exercise on Chapter 7|11 Videos

Similar Questions

Explore conceptually related problems

Two pairs of statements p and q are given below . Combine theses two statements using the biconditional phrase "if and only if " . P : If a reatangle is a square then all its four sides are equal . q : If all the four sides of rectangle are equal , then it is a square .

Two pairs of statements p and q are given below . Combine theses two statements using the biconditional phrase "if and only if " . p :If ABC is an isosceles triangle , then the base angles are equal . q : If two base angles of the traingle ABC are equal , then the traingle ABC is isosceles .

Knowledge Check

  • Two component statement p and q of the conditional statement "p if and only if q " denoted by -

    A
    `pvvq`
    B
    `p^^q`
    C
    `prArrq`
    D
    `phArrq`

    • Similar Questions

    Explore conceptually related problems

    Two pairs of statements p and q are given below . Combine theses two statements using the biconditional phrase "if and only if " . p : If a quadrilateral is equiangular then it is a rectangle . q : If a quadrilateral is a rectangle then it is a equiangular .

    Two pairs of statements p and q are given below . Combine theses two statements using the biconditional phrase "if and only if " . p : If a tumbler is half empty , then it is half full . q : If a tumbler is half full , then it is half empty.

    Rewrite each of the following compound statements with " if ……., then ……" implications : A rectangle is a square if its four sides are equal .

    Rewrite each of the following statements in the form ''p if and only if q'' r: If a quadrilateral is equiangular, then it is a rectangle and if a quadrilateral is a rectangle, then it is equiangular.

    Two pairs of statements p and q are given below . Combine theses two statements using the biconditional phrase "if and only if " . p : If sets A and B are equal , then (AsubeB and BsubeA) q : If (AsubeB and BsubeA) , then A and B are equal sets .

    Let's find if the following statements are true or false. Four sides of a rhombus are equal.

    Two pairs of statements p and q are given below . Combine theses two statements using the biconditional phrase "if and only if " . p : If your mind is free , then you watch T .V . q : If you watch T . V then your mind is free .

    Home
    Profile