Write the following statement in five different ways,conveying the same meaning.
$p:$ If a triangle is equiangular,then it is an obtuse-angled triangle.
$p:$ If a triangle is equiangular,then it is an obtuse-angled triangle.
(N/A) The given statement can be written in five different ways as follows:
$(i)$ $A$ triangle being equiangular implies that it is an obtuse-angled triangle.
$(ii)$ $A$ triangle is equiangular only if it is an obtuse-angled triangle.
$(iii)$ For a triangle to be equiangular,it is necessary that the triangle is an obtuse-angled triangle.
$(iv)$ For a triangle to be an obtuse-angled triangle,it is sufficient that the triangle is equiangular.
$(v)$ If a triangle is not an obtuse-angled triangle,then the triangle is not equiangular.
$(i)$ $A$ triangle being equiangular implies that it is an obtuse-angled triangle.
$(ii)$ $A$ triangle is equiangular only if it is an obtuse-angled triangle.
$(iii)$ For a triangle to be equiangular,it is necessary that the triangle is an obtuse-angled triangle.
$(iv)$ For a triangle to be an obtuse-angled triangle,it is sufficient that the triangle is equiangular.
$(v)$ If a triangle is not an obtuse-angled triangle,then the triangle is not equiangular.
Explore More
Similar Questions
Write the following statement in the form "if $p$,then $q$":
$p$: It is necessary to have a password to log on to the server.
$p$: It is necessary to have a password to log on to the server.
Easy
View SolutionDetermine which of the following is not a statement.
Easy
View SolutionLet $a: \sim(p \wedge \sim r) \vee(\sim q \vee s)$ and $b: (p \vee s) \leftrightarrow(q \wedge r)$. If the truth values of $p$ and $q$ are $T$ and that of $r$ and $s$ are $F$,then the truth values of $a$ and $b$ are respectively...
If $P$ and $Q$ are two statements,then which of the following compound statements is a tautology?
Let $S$ be a non-empty subset of $\mathbb{R}$. Consider the following statement:
$p$ : There is a rational number $x \in S$ such that $x > 0$.
Which of the following statements is the negation of the statement $p$?
$p$ : There is a rational number $x \in S$ such that $x > 0$.
Which of the following statements is the negation of the statement $p$?
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