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By Giving a Counter Example, Show that the Following Statements Are Not True. Q: the Equation X2 – 1 = 0 Does Not Have a Root Lying Between 0 and 2. - Mathematics

By giving a counter example, show that the following statements are not true.

q: The equation x2 – 1 = 0 does not have a root lying between 0 and 2.

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Solution

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 2.

Thus, the given statement is false.

  Is there an error in this question or solution?
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APPEARS IN

NCERT Class 11 Mathematics Textbook
Chapter 14 Mathematical Reasoning
Q 4.2 | Page 342
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