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". (i) 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.

Promotional Banner

Topper's Solved these Questions

  • MATHEMATICAL REASONING

    MODERN PUBLICATION|Exercise QUESTIONS FROM NCERT EXEMPLAR|7 Videos

  • MATHEMATICAL REASONING

    MODERN PUBLICATION|Exercise EXERCISE14(a) (VERY SHORT ANSWER TYPE QUESTIONS)|34 Videos

  • MATHEMATICAL INDUCTION

    MODERN PUBLICATION|Exercise CHAPTER TEST 4|12 Videos

  • MOCK TEST

    MODERN PUBLICATION|Exercise SECTION - D|5 Videos

Similar Questions

Explore conceptually related problems

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 akll the four sides of a rectangle are equal,then the rectangle is a square

Rewrite each of the following statements in the form 'p if and only if q'. Give below are pairs of statements. Combine them using 'if and only if' : p : If two lines are parallel, then their slopes are equal. q : If the slopes of two lines are equal, then they are parallel.

Given below are some pairs of statements. Combine each pair using if and only if: (i) p: If a quadrilateral-is equiangular, then it is a rectangle. q: If a quadrilateral is a rectangle, then it is equiangular. (ii) p: If the sum of the digits of a number is divisible by 3, then the number is divisible by 3. q: If a number is divisble by 3, then the sum of its digits is divisible by 3. (iii) p: A quadrilateral is a parallelogram if its diagonals bisect each other. q: If the diagonals of a quadrilateral bisect each other, then it is a parallelogram. (iv) p: If f(a) = 0, then (x -a) is a factor of polynomial f(x). q: If (x-a) is a factor of polynomial f(x), thenf(a) = 0. (v) p: If a square matrix A is invertible, then |A| is nonzero. q: If A is a square matrix such that |A| is nonzero, then A is invertible.

The sum of all the sides of a rectangle is known as its perimeter.

If the perimeter of a rectangle and a square each is equal to 80 cm and the difference of their areas is 100 sq. cm, the sides of the rectangle are:

If two squares of side 30 cm, each are joined to form a rectangle,what is the area of the rectangle?

Square a square is a rectangle with a pair of equal adjacent sides.

If the perimeters of a rectangle and a square are equal and the ratio of two adjacent sides of the rectangle is 1:2 then the ratio of area of the rectangle and that of the square is