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JEE Advanced Ma...

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  • Question 1
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    If  then

  • Question 2
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    If α,β are the roots of equation, x2 - 2x a2 + 1 = 0 and γ, δ are the roots of the equation, x2 - 2(a + 1)x + x(a - 1) = 0 such that α,β ∈ γ,δ then the interval in which ‘a’ lies,

  • Question 3
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    Directions For Questions

    Consider the curves,

    c3 ≡ x = 0

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    Maximum area bounded by all of these three curve is,

  • Question 4
    4 / -1

    Directions For Questions

    Consider the curves,

    c3 ≡ x= 0

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    Minimum area bounded by all of these three curve is,

  • Question 5
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    Directions For Questions

    Triangle ABC has circumcentre ‘O’ and orthocentre ‘H’. Points E and F are chosen on sides AC and ABrespectively such that AE = AO and AF = AH. If ‘R’ be radius of circle circumscribing the triangle ABC.Then,

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    The area of quadrilateral BFEC is equal to,

  • Question 6
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    Directions For Questions

    Triangle ABC has circumcentre ‘O’ and orthocentre ‘H’. Points E and F are chosen on sides AC and ABrespectively such that AE = AO and AF = AH. If ‘R’ be radius of circle circumscribing the triangle ABC.Then,

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    The length of segment EF is equal to,

  • Question 7
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    Directions For Questions

    Triangle ABC has circumcentre ‘O’ and orthocentre ‘H’. Points E and F are chosen on sides AC and ABrespectively such that AE = AO and AF = AH. If ‘R’ be radius of circle circumscribing the triangle ABC.Then,

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    Let,  then sum of squares of three altitudes of triangle AFE is equal to,

  • Question 8
    4 / -1

    If the equation x4 – 4x3 + ax2 + bx + 1 = 0 has four positive roots then

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