Determine the truth value of the following statement. x + y = 0 is the equation of a straight line if and only if y2 = 4x is the equation of the parabola. - Mathematics and Statistics

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Sum

Determine the truth value of the following statement.

x + y = 0 is the equation of a straight line if and only if y2 = 4x is the equation of the parabola.

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Solution

Let p : x + y = 0 is the equation of a straight line.
q : y2 = 4x is the equation of the parabola.

The truth values of p and q are T and T respectively.
The given statement in symbolic form is p ↔ q.

∴ p ↔ q ≡ T ↔ T ≡ T

∴ Truth value of the given statement is T.

Notes

The answer in the textbook is incorrect.

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Chapter 1: Mathematical Logic - Miscellaneous Exercise 1 [Page 32]

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Balbharati Mathematics and Statistics 1 (Commerce) 12th Standard HSC Maharashtra State Board
Chapter 1 Mathematical Logic
Miscellaneous Exercise 1 | Q 4.06 | Page 32
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