हिंदी

Write Converse, Inverse Contrnpositlve of the Statement "If Two Bi Act Arc Not Congruent Then Their Areas Are Not Equal.

Advertisements
Advertisements

प्रश्न

Write converse, inverse contrapositive of the statement "If two triangles are not congruent then their areas are not equal.

योग
Advertisements

उत्तर

 Let  p : Two triangles are not congruent

q : Areas of two triangles are not equal. 

∴ Symbolic form of the given statementt is P → q.

Converse : q → p

i.e. If areas of two triangles are not equal then U are not cong:ruent. 

Inverse : ~p → ~q

i.e. If two triangles are congruent then their a reas are equal. 

Contrapositive : ~q → ~ p

i.e. If areas of two triangles are equal then they congruent. 

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
2014-2015 (October)

APPEARS IN

वीडियो ट्यूटोरियलVIEW ALL [2]

संबंधित प्रश्न

Write the following compound statement symbolically. 

Hima Das wins gold medal if and only if she runs fast.


Express the following statement in symbolic form.

e is a vowel or 2 + 3 = 5


Express the following statement in symbolic form.

Milk is white or grass is green.


Write the negation of the following statement.

It is false that Nagpur is capital of Maharashtra


Find the truth value of the following statement.

3 is a prime number and an odd number.


If p and q are true and r and s are false, find the truth value of the following compound statement.

[(p ∨ s) → r] ∨ ~ [~ (p → q) ∨ s]


Assuming that the following statement is true,

p : Sunday is holiday,

q : Ram does not study on holiday,

find the truth values of the following statements.

Sunday is a holiday and Ram studies on holiday.


Assuming the first statement p and second as q. Write the following statement in symbolic form.

Kavita is brilliant and brave.


Let p : Sachin wins the match.
q : Sachin is a member of Rajya Sabha.
r : Sachin is happy.
Write the verbal statement of the following.

p → q


Write the negation of the following.

Ramesh is intelligent and he is hard working.


Write the negation of the following.

An angle is a right angle if and only if it is of measure 90°.


Write the negation of the following statement.

7 is prime number and Tajmahal is in Agra.


Write the negation of the following statement.

10 > 5 and 3 < 8


Without using truth table show that -

(p ˅ q) ˄ (∼p v ∼q) ≡ (p ∧ ∼q) ˄ (∼p ∧ q)


Choose the correct alternative:

Negation of p → (p ˅ ~q) is


State whether the following statement is True or False:

The converse of inverse of ~ p → q is q → ~ p


Negation of “Some men are animal” is ______.


Given 'p' and 'q' as true and 'r' as false, the truth values of p v (q ∧ ~r) and (p → r) ∧ q are respectively


Write the following statement in symbolic form.

4 is an odd number if 3 is not a prime factor of 6.


Using the statements

p: Seema is fat,

q: Seema is happy,

Write the following statements in symbolic form;

  1. Seema is thin and happy.
  2. If Seema is fat then she is unhappy.

Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×