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If the difference between the roots of the equation x2 + ax + 1 = 0 is less than , then the set of possible values of a is [2007]
  • a)
    (3, ∞)
  • b)
    (- ∞,- 3)
  • c)
    (– 3, 3)
  • d)
    (-3,∞) .
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
If the difference between the roots of the equation x2 + ax + 1 = 0 is...
Let α and β are roots of the equation x2 + αx + 1 = 0
So, α + β = – α and αβ = 1
given
⇒ a2 – 9 < 0 ⇒ a2 < 9 ⇒ – 3 < a < 3
⇒ a ∈ (–3, 3)
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If the difference between the roots of the equation x2 + ax + 1 = 0 is less than , then the set of possible values of a is [2007]a)(3, ∞)b)(- ∞,- 3)c)(– 3, 3)d)(-3,∞) .Correct answer is option 'C'. Can you explain this answer?
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If the difference between the roots of the equation x2 + ax + 1 = 0 is less than , then the set of possible values of a is [2007]a)(3, ∞)b)(- ∞,- 3)c)(– 3, 3)d)(-3,∞) .Correct answer is option 'C'. 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 If the difference between the roots of the equation x2 + ax + 1 = 0 is less than , then the set of possible values of a is [2007]a)(3, ∞)b)(- ∞,- 3)c)(– 3, 3)d)(-3,∞) .Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the difference between the roots of the equation x2 + ax + 1 = 0 is less than , then the set of possible values of a is [2007]a)(3, ∞)b)(- ∞,- 3)c)(– 3, 3)d)(-3,∞) .Correct answer is option 'C'. Can you explain this answer?.
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