KEAM 2019 Mathematics Question Paper with Answer Key PDFs (May 3)

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KEAM 2019 Mathematics Question paper with answer key pdf conducted on May 3, 2019 is available for download. The exam was successfully organized by Commissioner of Entrance Examinations Kerala from 10 AM to 12:30 PM. The question paper comprised a total of 120 questions.

KEAM 2019 Mathematics Question Paper with Answer Key PDFs

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KEAM Questions

1.
In a Zener regulated power supply circuit as shown in figure below,a Zener diode with V_z=1OV is used for regulation. The load current,Zener current and unregulated input V_in are 5mA,35mA and 20V,respectively. The value of R is:

1000Ω
750Ω
250Ω
100Ω
500Ω

View Solution

2.
Let \(f:R→R\) be a function defined by
\(f(x) = \begin{cases} 3e^x & \quad \text {if}\ {x<0}\\ x^2+3x+3 & \quad \text {if}\ 0≤x<1 \\ x^2-3x-3 & \quad \text {if} \ x≥1\end{cases}\)

f is continuous on R
f is not continuous on R
f is continuous on R\{0}
f is continuous on R\{1}
f is not continuous on R\{0,1}

View Solution

3.
If \(x\) is a real number such that \(tanx+cotx=2\),then \(x=\)?

\( (n+\dfrac{1}{4})π,n∈Z\)
\((n+1)π,n∈Z\)
\( (n+\dfrac{1}{2})π,n∈Z\)
\(nπ,n∈Z\)
\( \dfrac{2}{3}nπ,n∈Z\)

View Solution

4.
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 ?

\(\dfrac{1}{√3}\)
\(\dfrac{-1}{√3}\)
\({√3}\)
\(-{√3}\)

View Solution

5.
\(∫\dfrac{x+5}{x^{2}+1}dx=\)

\( 3ln|x-1|-2ln|x+1|+C\)
\(2ln|x-1|-3ln|x+1|+C\)
\(ln|x-2|-ln|x+1|+C\)
\( ln|x+2|+ln|x+1|+C\)
\(2ln|x-1|+3ln|x-1|+C\)

View Solution

6.
An inductor coil with an internal resistance of 50 Ω stores magnetic field energy 180 mJ and dissipates energy as heat at the rate of 200 W when a constant current 9 passed through it. The inductance of the coil will be:

90 mH
120 mH
45 mH
30 mH
60 mH

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KEAM 2019 Mathematics Question Paper with Answer Key PDFs

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KEAM Questions

1.
In a Zener regulated power supply circuit as shown in figure below,a Zener diode with V_z=1OV is used for regulation. The load current,Zener current and unregulated input V_in are 5mA,35mA and 20V,respectively. The value of R is:

2.
Let \(f:R→R\) be a function defined by
\(f(x) = \begin{cases} 3e^x & \quad \text {if}\ {x<0}\\ x^2+3x+3 & \quad \text {if}\ 0≤x<1 \\ x^2-3x-3 & \quad \text {if} \ x≥1\end{cases}\)

3.
If \(x\) is a real number such that \(tanx+cotx=2\),then \(x=\)?

4.
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 ?

5.
\(∫\dfrac{x+5}{x^{2}+1}dx=\)

6.
An inductor coil with an internal resistance of 50 Ω stores magnetic field energy 180 mJ and dissipates energy as heat at the rate of 200 W when a constant current 9 passed through it. The inductance of the coil will be:

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KEAM 2019 Mathematics Question Paper with Answer Key PDFs

KEAM Previous Year Question Paper with Answer Key PDFs

Similar Exam Question Papers

KEAM Questions

1. In a Zener regulated power supply circuit as shown in figure below,a Zener diode with Vz=1OV is used for regulation. The load current,Zener current and unregulated input Vin are 5mA,35mA and 20V,respectively. The value of R is:

2. Let \(f:R→R\) be a function defined by\(f(x) = \begin{cases} 3e^x & \quad \text {if}\ {x<0}\\ x^2+3x+3 & \quad \text {if}\ 0≤x<1 \\ x^2-3x-3 & \quad \text {if} \ x≥1\end{cases}\)

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

4. 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 ?

5. \(∫\dfrac{x+5}{x^{2}+1}dx=\)

6. An inductor coil with an internal resistance of 50 Ω stores magnetic field energy 180 mJ and dissipates energy as heat at the rate of 200 W when a constant current 9 passed through it. The inductance of the coil will be:

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1.
In a Zener regulated power supply circuit as shown in figure below,a Zener diode with V_z=1OV is used for regulation. The load current,Zener current and unregulated input V_in are 5mA,35mA and 20V,respectively. The value of R is:

2.
Let \(f:R→R\) be a function defined by
\(f(x) = \begin{cases} 3e^x & \quad \text {if}\ {x<0}\\ x^2+3x+3 & \quad \text {if}\ 0≤x<1 \\ x^2-3x-3 & \quad \text {if} \ x≥1\end{cases}\)

3.
If \(x\) is a real number such that \(tanx+cotx=2\),then \(x=\)?

4.
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 ?

5.
\(∫\dfrac{x+5}{x^{2}+1}dx=\)

6.
An inductor coil with an internal resistance of 50 Ω stores magnetic field energy 180 mJ and dissipates energy as heat at the rate of 200 W when a constant current 9 passed through it. The inductance of the coil will be: