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Theorem 1 concerns two functions that are both:
AContinuous at c
BConstant at c
CZero at the c
DUndefined at c
Answer & Solution
Correct answer: A. Continuous at c
1. The theorem builds new continuous functions from old.
2. It starts from a pair with the same property.
3. It supposes f and g are continuous at a real number c.
4. So the answer is continuous at c.
_Source: NCERT Class 12 Mathematics, Ch 5 'Continuity and Differentiability'_
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