NCERT Class XI Mathematics - Mathematical Reasoning - Solutions
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Question : 17
Total: 25
By giving a 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 equationx 2
(i) p: If all the angles of a triangle are equal, then the triangle is an obtuse angled triangle.
(ii) q: The equation
Solution:
(i) Since the triangle is an obtuse angled triangle then q > 90°.
Let q = 100°
Also all the angles of the triangle is equal.
∴ Sum of all angles of the triangle is 300°, which is not possible.
Thus, the given compound statement is not true.
(ii) We see that x = 1 is a root of the equationx 2
Let q = 100°
Also all the angles of the triangle is equal.
∴ Sum of all angles of the triangle is 300°, which is not possible.
Thus, the given compound statement is not true.
(ii) We see that x = 1 is a root of the equation
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