(i) The given statement is of the form "if q then r ".q : All the angles of a triangle are equal.r: The triangle is an obtuse-angled triangle.The given statement p has to be proved false. For this purpose, it has to be proved that if q, then \\sim rTo show this, angles of a triangle are required such that none of them is an obtuse angle. It is known that the sum of all angles of a triangle is 180∘. Therefore, if all the three angles are equal, then each of them is of measure 60∘, which is not an obtuse angle.In an equilateral triangle, the measure of all angles is equal. However, the triangle is not an obtuse-angled triangle.Thus, it can be concluded that the given statement p is false.(ii) The given statement is as follows.q : The equation x2−1=0 does not have a root lying between 0 and 2.This statement has to be proved false. To show this, a counter example is required. Consider x2−1=0.x2=1 x=±1 One root of the equation x2−1=0, i. e. the root x = 1, lies between 0 and 2Thus, the given statement is false.