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The set of values of a for which 1 1 lies between the roots of equation x2−ax−a+3=0 is
  • a)
    (−∞,−6)
  • b)
    (−∞,6]
  • c)
    (−∞, −6)∪(2 ,∞)
  • d)
    (2 ,∞)
Correct answer is option 'D'. Can you explain this answer?
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The set of values of a for which 1 1 lies between the roots of equatio...
It seems that there is a typo in your question. Could you please provide the correct equation so that I can help you with finding the set of values for 'a'?
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Community Answer
The set of values of a for which 1 1 lies between the roots of equatio...
f(x)=x2−ax−(a−3)=0


D>0  ⇒a2+4(a−3)>0
a2+4a−12>0
(a+6)(a−2)>0   ...(1)
f(1)<0⇒   1−a−a+3<0
⇒2a>4
⇒a>2   ...(2)

⇒ a>2
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The set of values of a for which 1 1 lies between the roots of equation x2−ax−a+3=0 isa)(−∞,−6)b)(−∞,6]c)(−∞, −6)∪(2 ,∞)d)(2 ,∞)Correct answer is option 'D'. Can you explain this answer?
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The set of values of a for which 1 1 lies between the roots of equation x2−ax−a+3=0 isa)(−∞,−6)b)(−∞,6]c)(−∞, −6)∪(2 ,∞)d)(2 ,∞)Correct 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 The set of values of a for which 1 1 lies between the roots of equation x2−ax−a+3=0 isa)(−∞,−6)b)(−∞,6]c)(−∞, −6)∪(2 ,∞)d)(2 ,∞)Correct 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 The set of values of a for which 1 1 lies between the roots of equation x2−ax−a+3=0 isa)(−∞,−6)b)(−∞,6]c)(−∞, −6)∪(2 ,∞)d)(2 ,∞)Correct answer is option 'D'. Can you explain this answer?.
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