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Consider the statements
I. The equation x +1 = 0 has no real root.
II. The equation x2 +1 = 0 has no real root.
III. The equation x3 +1 = 0 has no real root.
Than which of the following is false
  • a)
    I and II
  • b)
    I and III
  • c)
    II and III
  • d)
    I, II, III
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Consider the statementsI.The equation x +1 = 0 has no real root.II.The...
x + l = 0 = > . x = - 1
x2 +1 = 0 => no real root exists as x2 is non-negative
x3 +1 = 0 =» x3 = -1 => x = -1
statement I and III are false.
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Most Upvoted Answer
Consider the statementsI.The equation x +1 = 0 has no real root.II.The...
In equation 1 i.e x+1=0 , the solution is x=(-1),which is a real number.
in equation 3 i.e x³+1=0 , one of the solution is (-1),which is a real number.
But in equation 2 i.e x²+1=0 , the solution is i=√(-1),which is a complex number, not a real number.
so option 'B' is correct
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Consider the statementsI.The equation x +1 = 0 has no real root.II.The equation x2 +1 = 0 has no real root.III.The equation x3+1 = 0 has no real root.Than which of the following is falsea)I and IIb)I and IIIc)II and IIId)I, II, IIICorrect answer is option 'B'. Can you explain this answer?
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Consider the statementsI.The equation x +1 = 0 has no real root.II.The equation x2 +1 = 0 has no real root.III.The equation x3+1 = 0 has no real root.Than which of the following is falsea)I and IIb)I and IIIc)II and IIId)I, II, IIICorrect answer is option 'B'. Can you explain this answer? for IIT JAM 2024 is part of IIT JAM preparation. The Question and answers have been prepared according to the IIT JAM exam syllabus. Information about Consider the statementsI.The equation x +1 = 0 has no real root.II.The equation x2 +1 = 0 has no real root.III.The equation x3+1 = 0 has no real root.Than which of the following is falsea)I and IIb)I and IIIc)II and IIId)I, II, IIICorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for IIT JAM 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider the statementsI.The equation x +1 = 0 has no real root.II.The equation x2 +1 = 0 has no real root.III.The equation x3+1 = 0 has no real root.Than which of the following is falsea)I and IIb)I and IIIc)II and IIId)I, II, IIICorrect answer is option 'B'. Can you explain this answer?.
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