Write the negation of the following statement:
Both the diagonals of a rectangle have the same length.
Both the diagonals of a rectangle have the same length.
(N/A) The given statement is: $P$: Both the diagonals of a rectangle have the same length.
The negation of a statement $P$ is denoted by $\sim P$.
The negation of the statement "Both the diagonals of a rectangle have the same length" is:
"It is false that both the diagonals of a rectangle have the same length."
Alternatively,this can be written as:
"There exists at least one rectangle whose diagonals do not have the same length."
The negation of a statement $P$ is denoted by $\sim P$.
The negation of the statement "Both the diagonals of a rectangle have the same length" is:
"It is false that both the diagonals of a rectangle have the same length."
Alternatively,this can be written as:
"There exists at least one rectangle whose diagonals do not have the same length."
Explore More
Similar Questions
The negation of the conditional statement,"If it rains,$I$ shall go to school" is:
If the statement $(p \vee \sim r) \rightarrow (q \wedge r)$ is false and the statement $q$ is true,then what is the truth value of statement $p$?
Medium
View SolutionWhich of the following statements is a tautology?
Check whether the following sentence is a statement. Give reasons for your answer.
"Every set is a finite set."
"Every set is a finite set."
Easy
View SolutionThe statement $p \to (p \leftrightarrow q)$ is logically equivalent to :-
Vedclass Products
For Students
Vedclass Test Series
Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.
Start Free TrialFor Teachers
Exam Paper Generator
Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.
Try FreeFor Institutes
Online Exam Module
Live online exams with unlimited students, 360° analytics & white-label branding.
See Demo