Write the converse, inverse, and contrap...

Write the converse, inverse, and contrapositive of each of the following implication.
(i) If x and y are numbers such that x=y, then `x^(2) = y^(2)`.
(ii) If a quadrilateral is a square then it is a rectangle.

Promotional Banner

Promotional Banner

Topper's Solved these Questions

DISCRETE MATHEMATICS
PREMIERS PUBLISHERS|Exercise Solution To Exercise 12.3|20 Videos
DISCRETE MATHEMATICS
PREMIERS PUBLISHERS|Exercise Problems For Practice|30 Videos
DISCRETE MATHEMATICS
PREMIERS PUBLISHERS|Exercise Solution To Exercise 12.1|17 Videos
DIFFERENTIALS AND PARTIAL DERIVATIVES
PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE|40 Videos
INVERSE TRIGONOMETRIC FUNCTIONS
PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE ( ANSWER THE FOLLOWING QUESTIONS ):|24 Videos

Similar Questions

Explore conceptually related problems

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. x is an even number implies that x is divisible by 4.

If x and y are real numbers such that 16^(x^(2)+y)+16^(x+y^2)=1 , then find the values of x and y.

Draw the graph of each of the following linear equations. (i) 2y = -x + 1 (ii) –x + y = 6 (iii) 3x + 5y = 15 (iv) x/2-y/3 =3

If x and y are positive real numbers such that 2log(2y - 3x) = log x + log y," then find the value of " x/y .

PREMIERS PUBLISHERS-DISCRETE MATHEMATICS-Solution To Exercise 12.2

Which one of the following sentences is a proposition? (i) 4+7=12 ...
Text Solution
|
Which one of the following sentences is a proposition? (i) 4+7=12 ...
Text Solution
|
Write the converse, inverse, and contrapositive of each of the followi...
Text Solution
|
Write the converse, inverse, and contrapositive of each of the followi...
Text Solution
|
Construct the truth table for the following statements. -q vv -q
Text Solution
|
Construct the truth table for the following statements. -(p wedge -q...
Text Solution
|
Construct the truth table for the following statements. (p vv q) vv ...
Text Solution
|
Construct the truth table for the following statements. (-p to r) vv...
Text Solution
|
Verify whether the following compound propositions are tautologies or ...
Text Solution
|
Verify whether the following compound propositions are tautologies or ...
Text Solution
|
Verify whether the following compound propositions are tautologies or ...
Text Solution
|
Verify whether the following compound propositions are tautologies or ...
Text Solution
|
Show that (i) ~(p wedge q) -= ~p vee ~q (ii) ~(p to q) -= p wedge~q.
Text Solution
|
Show that (i) ~(p wedge q) -= ~p vee ~q (ii) ~(p to q) -= p wedge~q.
Text Solution
|
Prove that Q to P -= P to - Q
Text Solution
|
Show that p to q and q to p are not equivalent.
Text Solution
|
Show that -(p leftrightarrow q) -= p leftrightarrow -q.
Text Solution
|
Check whether the statement p to (q to p) is a tautology or a contradi...
Text Solution
|
Using truth table check whether the statements ~(p vee q) vee (~p wedg...
Text Solution
|
Prove p to (q to r) -= (p wedge q) to r without using truth table.
Text Solution
|