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Which of the following is true
  • a)
    If {f (x) + g (x)} is continuous at x = a, then f (x) and g (x) are both separately continuous at x = a
  • b)
    If f (x)  g (x)  is continuous at x = a, then f (x) and g (x) are both separately continuous at x = a
  • c)
    If f (x)  g (x)  and f (x) are discontinuous at x = a, then g (x) is continuous at x = a
  • d)
    If both f (x) and g (x) are discontinuous at x = a, then f (x) + g (x) may not be discontinuous at x = a
Correct answer is option 'D'. Can you explain this answer?
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Which of the following is truea)If {f (x) + g (x)} is continuous at x ...
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Which of the following is truea)If {f (x) + g (x)} is continuous at x = a, then f (x) and g (x) are both separately continuous at x = ab)If f (x) g (x) is continuous at x = a, then f (x) and g (x) are both separately continuous at x = ac)If f (x) g (x) and f (x) are discontinuous at x = a, then g (x) is continuous at x = ad)If both f (x) and g (x) are discontinuous at x = a, then f (x) + g (x) may not be discontinuous at x = aCorrect answer is option 'D'. Can you explain this answer?
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Which of the following is truea)If {f (x) + g (x)} is continuous at x = a, then f (x) and g (x) are both separately continuous at x = ab)If f (x) g (x) is continuous at x = a, then f (x) and g (x) are both separately continuous at x = ac)If f (x) g (x) and f (x) are discontinuous at x = a, then g (x) is continuous at x = ad)If both f (x) and g (x) are discontinuous at x = a, then f (x) + g (x) may not be discontinuous at x = aCorrect answer is option 'D'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Which of the following is truea)If {f (x) + g (x)} is continuous at x = a, then f (x) and g (x) are both separately continuous at x = ab)If f (x) g (x) is continuous at x = a, then f (x) and g (x) are both separately continuous at x = ac)If f (x) g (x) and f (x) are discontinuous at x = a, then g (x) is continuous at x = ad)If both f (x) and g (x) are discontinuous at x = a, then f (x) + g (x) may not be discontinuous at x = aCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following is truea)If {f (x) + g (x)} is continuous at x = a, then f (x) and g (x) are both separately continuous at x = ab)If f (x) g (x) is continuous at x = a, then f (x) and g (x) are both separately continuous at x = ac)If f (x) g (x) and f (x) are discontinuous at x = a, then g (x) is continuous at x = ad)If both f (x) and g (x) are discontinuous at x = a, then f (x) + g (x) may not be discontinuous at x = aCorrect answer is option 'D'. Can you explain this answer?.
Solutions for Which of the following is truea)If {f (x) + g (x)} is continuous at x = a, then f (x) and g (x) are both separately continuous at x = ab)If f (x) g (x) is continuous at x = a, then f (x) and g (x) are both separately continuous at x = ac)If f (x) g (x) and f (x) are discontinuous at x = a, then g (x) is continuous at x = ad)If both f (x) and g (x) are discontinuous at x = a, then f (x) + g (x) may not be discontinuous at x = aCorrect answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE. Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
Here you can find the meaning of Which of the following is truea)If {f (x) + g (x)} is continuous at x = a, then f (x) and g (x) are both separately continuous at x = ab)If f (x) g (x) is continuous at x = a, then f (x) and g (x) are both separately continuous at x = ac)If f (x) g (x) and f (x) are discontinuous at x = a, then g (x) is continuous at x = ad)If both f (x) and g (x) are discontinuous at x = a, then f (x) + g (x) may not be discontinuous at x = aCorrect answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Which of the following is truea)If {f (x) + g (x)} is continuous at x = a, then f (x) and g (x) are both separately continuous at x = ab)If f (x) g (x) is continuous at x = a, then f (x) and g (x) are both separately continuous at x = ac)If f (x) g (x) and f (x) are discontinuous at x = a, then g (x) is continuous at x = ad)If both f (x) and g (x) are discontinuous at x = a, then f (x) + g (x) may not be discontinuous at x = aCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for Which of the following is truea)If {f (x) + g (x)} is continuous at x = a, then f (x) and g (x) are both separately continuous at x = ab)If f (x) g (x) is continuous at x = a, then f (x) and g (x) are both separately continuous at x = ac)If f (x) g (x) and f (x) are discontinuous at x = a, then g (x) is continuous at x = ad)If both f (x) and g (x) are discontinuous at x = a, then f (x) + g (x) may not be discontinuous at x = aCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of Which of the following is truea)If {f (x) + g (x)} is continuous at x = a, then f (x) and g (x) are both separately continuous at x = ab)If f (x) g (x) is continuous at x = a, then f (x) and g (x) are both separately continuous at x = ac)If f (x) g (x) and f (x) are discontinuous at x = a, then g (x) is continuous at x = ad)If both f (x) and g (x) are discontinuous at x = a, then f (x) + g (x) may not be discontinuous at x = aCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Which of the following is truea)If {f (x) + g (x)} is continuous at x = a, then f (x) and g (x) are both separately continuous at x = ab)If f (x) g (x) is continuous at x = a, then f (x) and g (x) are both separately continuous at x = ac)If f (x) g (x) and f (x) are discontinuous at x = a, then g (x) is continuous at x = ad)If both f (x) and g (x) are discontinuous at x = a, then f (x) + g (x) may not be discontinuous at x = aCorrect answer is option 'D'. Can you explain this answer? tests, examples and also practice JEE tests.
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