मराठी
महाराष्ट्र राज्य शिक्षण मंडळएचएससी वाणिज्य (इंग्रजी माध्यम) इयत्ता १२ वी

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.

बेरीज
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
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
2014-2015 (October)

APPEARS IN

व्हिडिओ ट्यूटोरियलVIEW ALL [2]

संबंधित प्रश्‍न

Construct the truth table of the following:

∼ (∼p ∧ ∼q) ∨ q


Express the following statement in symbolic form.

Milk is white or grass is green.


Write the truth value of the following statement.

Earth is a planet and Moon is a star.


Write the negation of the following statement.

− 3 is a natural number.


Write the following statement in symbolic form.

Milk is white if and only if the sky is not blue.


If p : He swims

q : Water is warm

Give the verbal statement for the following symbolic statement:

p ↔ ~ q


If p : He swims

q : Water is warm

Give the verbal statement for the following symbolic statement.

~ (p ∨ q)


If p : He swims

q : Water is warm

Give the verbal statement for the following symbolic statement.

q → p


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

To be brave is necessary and sufficient condition to climb the Mount Everest.


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

The drug is effective though it has side effects.


If p : Proof is lengthy.
q : It is interesting.
Express the following statement in symbolic form.

It is not true that the proof is lengthy but it is interesting.


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.

If x ∈ A ∩ B, then x ∈ A and x ∈ B.


Write the negation of the following statement.

10 > 5 and 3 < 8


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


Which of the following is NOT true for p → q.


The statement, 'If I go to school, then I will get knowledge' is equivalent to ______ 


Let S be a non-empty subset of R. Consider the following statement:

p: There is a rational number x ∈ S such that x > 0. Which of the following statements is the negation of the statement p? 


Which of the following is logically equivalent to `∼(∼p \implies q)`?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×