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KEAM 2024 Question Paper with Answer Key (June 9)
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Ahana Bhaduri

Content Writer | Updated On - Jun 19, 2024

KEAM 2024 Question Paper (June 9) is available for download here. Office of The Commissioner for Entrance Examinations (CEE Kerala) conducted KEAM Engineering exam 2024 in CBT mode on June 9 in afternoon shift from 2 PM to 5 PM. KEAM Engineering 2024 Question Paper consists total of 150 questions carrying 4 mark each with negative marking of 1 for each incorrect answer. KEAM 2024 Question Paper includes Mathematics with 75 questions, Physics with 45 questions and Chemistry with 30 questions to be attempted in total of 180 minutes.

KEAM 2024 Question Paper with Answer Key PDF (June 9)

KEAM 2024 Question Paper PDF KEAM 2024 Answer Key PDF
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KEAM Questions

1.
The value of a(≠0) for which the equation \(\frac{1}{2}(x-2)^2+1=\sin(\frac{a}{x})\) holds is/are

    • \((4n+1)\pi,n\isin \Z\)
    • \(2(n-1)\pi,n\isin \Z\)
    • \(n\pi,n\isin \N\)
    • \(\frac{n\pi}{2},\isin \N\)
    • 1

    2.
    A thin particle moves from \((0,1)\) and gets reflected upon hitting the x-axis at \((√3,0)\). Then the slope of the reflected line is ?

      • \(\dfrac{1}{√3}\)

      • \(\dfrac{-1}{√3}\)

      • \({√3}\)

      • \(-{√3}\)

      3.
      If \( α,β,γ\) are the cube roots of \(-2\) ,then the value of \(xα+yβ+zγ/xβ+yγ+zα\) is (\(x,y,z\) are variables)

        • \(\)\(e^{ iπ/3}\)
        • \(e^{2πi/3}\)

        • \(1\)

        • \(-1\)

        • \(e^{ 4iπ/3}\)

        4.
        Let \(a,b,c,d \) be an increasing sequence of real numbers,which are in geometric progression .If \(a+d=112\) and \(b+c=48\) ,then the value of \(\dfrac{a+c+8}{b}\) is 

          • \(1\)

          • \(5\)

          • \(4\)

          • \(3\)

          • \(2\)

          5.
          If f(z)=zn+an-1zn-1 +......+a1zn+a0 ∈ R[z] is a polynomial in z with no root over R,then deg(f)is

            • 9
            • always≤4
            • an odd number
            • always≥4
            • an even number

            6.
            If \(x\) is a real number such that \(tanx+cotx=2\),then \(x=\)?

              •  \( (n+\dfrac{1}{4})π,n∈Z\)

              • \((n+1)π,n∈Z\)

              • \( (n+\dfrac{1}{2})π,n∈Z\)

              • \(nπ,n∈Z\)

              • \( \dfrac{2}{3}nπ,n∈Z\)

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