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The value of a for which the sum of the squares of the roots of the equation x2–(a–2)x–a–1 = 0 assume the least value is -
  • a)
    1
  • b)
    0
  • c)
    3
  • d)
    2
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
The value of a for which the sum of the squares of the roots of the eq...
We are given the equation x^2-(a-2)x-a-1=0 and we are asked to find the value of a that minimizes the sum of the square of the roots:
We use the quadratic formula to find the roots with a=1,b=-(a-2), and c=-(a+1):

This is minimized at a=1 (The graph of y=a^2-2a+6 is a parabola opening up; the minimum occurs at the vertex.
The minimum of the sum of the squares of the roots occurs when a=1
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The value of a for which the sum of the squares of the roots of the equation x2–(a–2)x–a–1 = 0 assume the least value is -a)1b)0c)3d)2Correct answer is option 'A'. Can you explain this answer?
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The value of a for which the sum of the squares of the roots of the equation x2–(a–2)x–a–1 = 0 assume the least value is -a)1b)0c)3d)2Correct answer is option 'A'. 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 value of a for which the sum of the squares of the roots of the equation x2–(a–2)x–a–1 = 0 assume the least value is -a)1b)0c)3d)2Correct answer is option 'A'. 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 value of a for which the sum of the squares of the roots of the equation x2–(a–2)x–a–1 = 0 assume the least value is -a)1b)0c)3d)2Correct answer is option 'A'. Can you explain this answer?.
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