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Assuming the first statement p and second as q. Write the following statement in symbolic form. The necessary condition for existence of a tangent to the curve of the function is continuity.

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Question

Assuming the first statement p and second as q. Write the following statement in symbolic form.

The necessary condition for existence of a tangent to the curve of the function is continuity.

Sum
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Solution

The given statement can also be expressed as ‘If the function is continuous, then the tangent to the curve exists’.

Let p : The function is continuous
q : The tangent to the curve exists.

∴ p → q is the symbolic form of the given statement.

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Notes

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Chapter 1: Mathematical Logic - Miscellaneous Exercise 1 [Page 31]

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Balbharati Mathematics and Statistics 1 (Commerce) [English] Standard 12 Maharashtra State Board
Chapter 1 Mathematical Logic
Miscellaneous Exercise 1 | Q 4.03 | Page 31

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