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.

Vedclass pdf generator app on play store
Vedclass iOS app on app store
(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.

Explore More

Similar Questions

The symbolic form of the following circuit is (where $p, q$ and $r$ represent switches $s_{1}, s_{2}$ and $s_{3}$ which are closed respectively):

Simplify the following switching circuit and find the corresponding Boolean expression.

The inverse of the proposition $(p \wedge \sim q) \Rightarrow r$ is

Check whether the following pair of statements are negation of each other. Give reasons for your answer.
$I$: There exists real numbers $x$ and $y$ for which $x+y=y+x.$
$II$: For all real numbers $x$ and $y$,$x+y \neq y+x.$

If $p, q, r$ are simple propositions,then $(p \wedge q) \wedge (q \wedge r)$ is true,then:

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo