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KEAM 2023 Mathematics Question Paper PDF is available here for download. KEAM 2023 Question Paper consists of 120 questions carrying 1 mark each. KEAM 2023 Question Paper May 17 Paper 2 includes one subject which is Mathematics. The Mathematics paper includes 120 questions.
KEAM 2023 Mathematics Question Paper with Answer Key PDF
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KEAM Questions
1. Let α and β be such that α+β=π. If \(\cos\alpha=\frac{1}{\sqrt2}\), then the value of cot (β-α) is
- ∞
- 1
- \(\frac{1}{2}\)
- \(\frac{1}{4}\)
- 0
2. 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
\(1\)
\(5\)
\(4\)
\(3\)
\(2\)
3. 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 ?
\(\dfrac{1}{√3}\)
\(\dfrac{-1}{√3}\)
\({√3}\)
\(-{√3}\)
4. 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
5. Let \(k\) be a real number such that \(\sin \dfrac{3π}{14} \cos \dfrac{3π}{14} = k \cos \dfrac{π}{14}\).Then the value of \(4k\) is
\(1\)
\(2\)
\(3\)
\(4\)
\(0\)
6. \(∫\dfrac{x+5}{x^{2}+1}dx=\)
\( 3ln|x-1|-2ln|x+1|+C\)
\(2ln|x-1|-3ln|x+1|+C\)
\(ln|x-2|-ln|x+1|+C\)
\( ln|x+2|+ln|x+1|+C\)
\(2ln|x-1|+3ln|x-1|+C\)
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