Advertisements
Advertisements
प्रश्न
Write the contrapositive and converse of the following statements.
You cannot comprehend geometry if you do not know how to reason deductively.
Advertisements
उत्तर
The contrapositive is as follows.
If you know how to reason deductively, then you can comprehend geometry.
The converse is as follows.
If you do not know how to reason deductively, then you cannot comprehend geometry.
APPEARS IN
संबंधित प्रश्न
Write the contrapositive and converse of the following statements.
If x is a prime number, then x is odd
Write the contrapositive and converse of the following statements.
Something is cold implies that it has low temperature.
Write the contrapositive and converse of the following statements.
x is an even number implies that x is divisible by 4
Write each of the following statement in the form “if-then”.
A quadrilateral is a parallelogram if its diagonals bisect each other.
State the converse and contrapositive of each of the following statements:
r: If it is hot outside, then you feel thirsty.
Write the statement in the form “if p, then q”.
r: You can access the website only if you pay a subscription fee.
Re write each of the following statements in the form “p if and only if q”.
q: For you to get an A grade, it is necessary and sufficient that you do all the homework regularly.
Re write 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.
State the converse and contrapositive of statement:
I go to a beach whenever it is a sunny day.
Rewrite of the statement in the form "p if and only if q".
r : For you to get an A grade, it is necessary and sufficient that you do all the homework regularly.
Rewrite of the statement in the form "p if and only if q".
s : If a tumbler is half empty, then it is half full and if a tumbler is half full, then it is half empty.
Determine the contrapositive of the statement:
If Mohan is a poet, then he is poor.
Determine the contrapositive of the statement:
If it snows, then they do not drive the car.
Determine the contrapositive of the statement:
It never rains when it is cold.
Determine the contrapositive of the statement:
If Ravish skis, then it snowed.
Determine the contrapositive of the statement:
If x is less than zero, then x is not positive.
Determine the contrapositive of the statement:
Only if he does not tire will he win.
Check whether the statement are true or not:
p : If x and y are odd integers, then x + y is an even integer.
Show that the following statement is true.
p: For any real numbers x, y if x = y, then 2x + a = 2y + a when a ∈ Z.
Write down the contrapositive of the following statements:
If x = y and y = 3, then x = 3.
Write down the contrapositive of the following statements:
If n is a natural number, then n is an integer.
Write down the contrapositive of the following statements:
If x is a real number such that 0 < x < 1, then x2 < 1.
Write down the converse of following statements:
If a rectangle ‘R’ is a square, then R is a rhombus.
Write down the converse of following statements:
If today is Monday, then tomorrow is Tuesday.
Write down the converse of following statements:
If S is a cyclic quadrilateral, then the opposite angles of S are supplementary
Using contrapositive method prove that if n2 is an even integer, then n is also an even integers.
The converse of the statement “If x > y, then x + a > y + a” is ______.
The converse of the statement “If sun is not shining, then sky is filled with clouds” is ______.
The contrapositive of the statement “If p, then q”, is ______.
The contrapositive of statement ‘If Chandigarh is capital of Punjab, then Chandigarh is in India’ is ______.
Write the statement in the form “if p, then q”.
p: It is necessary to have a password to log on to the server.
