Home
Class 11
MATHS
Write the contra positive of the followi...

Write the contra positive of the following statement:(i)         If a number is divisible by 9, then it is divisible by 3.(ii)        If you are born in India, then you are a citizen of India.(iii)       If a triangle is equilateral, it is isosceles.

Text Solution

AI Generated Solution

To find the contrapositive of a given statement, we follow the logical structure: If \( p \) then \( q \) becomes If not \( q \) then not \( p \). Let's apply this to the given statements step by step. ### Step 1: Identify the statements 1. If a number is divisible by 9, then it is divisible by 3. 2. If you are born in India, then you are a citizen of India. 3. If a triangle is equilateral, then it is isosceles. ### Step 2: Write the contrapositive for each statement ...
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICAL REASONING

    NCERT ENGLISH|Exercise MISCELLANEOUS EXERCISE|7 Videos
  • MATHEMATICAL REASONING

    NCERT ENGLISH|Exercise EXERCISE 14.5|5 Videos
  • LINEAR INEQUALITIES

    NCERT ENGLISH|Exercise EXERCISE 6.2|10 Videos
  • PERMUTATIONS AND COMBINATIONS

    NCERT ENGLISH|Exercise EXERCISE 7.1|6 Videos

Similar Questions

Explore conceptually related problems

Write the converse of the statement. If a number is divisible by 9, then it is divisible by 3.

Write the contrapositive of the following statements : (i) if you born in india, then you are a citizen of India. (ii) If a triangle is equilateral, then it is isosceles.

Write the contrapositive of :if a number is divisible by 9 then it is divisible by 3"

Write the converse of the following statements: (i)If a number is even then n^2 is even (ii)If you do all the exercises in the book, you get an A grade in the class.

Write the converse of the following statements.(i) If a number n is even, then n^2 is even.(ii) If you do all the exercises in the book, you get an A grade in the class.

Check validity of the following statement. (i) p : 125 is divisible by 5 and 7. (ii) q: 131 is a multiple of 3 or 11.

Write the converse and contra positive of statement "If x-:3=9 , then x=6 "

Write contrapositive of the following statement (i) If an Indian is working in America then he has a working visa (ii) If a number is divisible by 10 then it is divisiblw by 5 (iii) If a number p is prime number , then sqrt5 is irrational number

Write the contrapositive of the following statements: (i)If x is prime number then x is odd (ii)If two lines re parallel then they do not intersect in the same plane. (iii) x is even number implies that x is divisible by 4.

Is the following number is divisible by 3 or 9: 7341