Let a, b, c be non-zero real numbers such thatThen the quadratic equation ax2 + bx +c= 0 hasa)no root in (0, 2)b)at least one root in (0, 2)c)a double root in (0, 2)d)two imaginary rootsCorrect answer is option 'B'. Can you explain this answer?

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Let a, b, c be non-zero real numbers such that

Then the quadratic equation ax² + bx +c= 0 has

a)
no root in (0, 2)
b)
at least one root in (0, 2)
c)
a double root in (0, 2)
d)
two imaginary roots

Correct answer is option 'B'. Can you explain this answer?

FREE This question is part of

JEE Advanced (Single Correct MCQs): Definite Integrals and Applications of Integrals

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Verified Answer

Let a, b, c be non-zero real numbers such thatThen the quadratic equat...

Now we know that if

then it means that
f (x) is + ve on some part of (α, β) and – ve on other part of (α, β).
But here 1 + cos⁸ x is always + ve,
∴ ax² + bx + c is + ve on some part of [1 , 2] and – ve on other part [1, 2]
∴ ax² + bx + c= 0 has at least one root in (1, 2).
⇒ ax² + bx + c = 0 has at least one root in (0,2).

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Let a, b, c be non-zero real numbers such thatThen the quadratic equation ax2 + bx +c= 0 hasa)no root in (0, 2)b)at least one root in (0, 2)c)a double root in (0, 2)d)two imaginary rootsCorrect answer is option 'B'. Can you explain this answer?

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Let a, b, c be non-zero real numbers such thatThen the quadratic equation ax2 + bx +c= 0 hasa)no root in (0, 2)b)at least one root in (0, 2)c)a double root in (0, 2)d)two imaginary rootsCorrect answer is option 'B'. 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 Let a, b, c be non-zero real numbers such thatThen the quadratic equation ax2 + bx +c= 0 hasa)no root in (0, 2)b)at least one root in (0, 2)c)a double root in (0, 2)d)two imaginary rootsCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let a, b, c be non-zero real numbers such thatThen the quadratic equation ax2 + bx +c= 0 hasa)no root in (0, 2)b)at least one root in (0, 2)c)a double root in (0, 2)d)two imaginary rootsCorrect answer is option 'B'. Can you explain this answer?.

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