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Question: Answered & Verified by Expert
By giving counter example, show that the following statements are not true.
(i) $p$ : If all the angles of a triangle are equal, then the triangle is an obtuse angled triangle.
(ii) $q$ : The equation $x^2-1=0$ does not have a root lying between 0 and 2 .
MathematicsMathematical Reasoning
Solution:
1284 Upvotes Verified Answer
(i) Let an angle of triangle be $90+\theta$
$\therefore$ Sum of the angles $=3(90+\theta)$
$=270+3 \theta$ which is greater than $180^{\circ}$
$\therefore$ A triangle having equal angles cannot be obtuse angle triangle.
(ii) The equation $x^2-1=0$ has the root $x=1$ which lies between 0 and 2.
Then, given statement is not ture.

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