Content Curator | Updated On - May 24, 2024
AP ECET 2024 Electronics and Communication Engineering Question Paper is available for download here. JNTU Anantapur on behalf of APSCHE conducted AP ECET 2024 on May 8 Shift 2. AP ECET 2024 Electronics and Communication Engineering Question Paper consists of 25 questions from Physics and Chemistry each, 50 questions from Mathematics and 100 questions from Electronics and Communication Engineering to be attempted in the duration of 3 hours.
AP ECET 2024 ECE Question Paper with Answer Key PDF
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AP ECET Questions
1. Let $f(x) = x^2 + 2x + 2, g(x) = - x^2 + 2x - 1 $ and $a, b$ be the extreme values of $f(x), g(x)$ respectively. If $c$ is the extreme value of $\frac{f}{g} (x)$ (for x $\neq$ 1), then $a + 2b + 5c + 4$ =
Let $f(x) = x^2 + 2x + 2, g(x) = - x^2 + 2x - 1 $ and $a, b$ be the extreme values of $f(x), g(x)$ respectively. If $c$ is the extreme value of $\frac{f}{g} (x)$ (for x $\neq$ 1), then $a + 2b + 5c + 4$ =
- 2
- 1
- 4
- 3
2. The sum of the four digit even numbers that can be formed with the digits 0,3,5,4 with out repetition is
The sum of the four digit even numbers that can be formed with the digits 0,3,5,4 with out repetition is
- 14684
- 43536
- 46526
- 52336
3. A solution is prepared by dissolving $10 \,g$ of a non-volatile solute (molar mass, $'M^{\prime} g mol ^{-1}$ ) in $360\, g$ of water. What is the molar mass in $g\, mol ^{-1}$ of solute if the relative lowering of vapour pressure of solution is $5 \times 10^{-3}$ ?
A solution is prepared by dissolving $10 \,g$ of a non-volatile solute (molar mass, $'M^{\prime} g mol ^{-1}$ ) in $360\, g$ of water. What is the molar mass in $g\, mol ^{-1}$ of solute if the relative lowering of vapour pressure of solution is $5 \times 10^{-3}$ ?
- 199
- 99.5
- 299
- 149.5
4. Let $A, G, H$ and $S$ respectively denote the arithmetic mean, geometric mean, harmonic mean and the sum of the numbers $a_1 , a_2 , a_3 ....., a_n$ . Then the value of at which the function $f(x) =\displaystyle \sum^n_{k =1} (x -a_k)^2$ has minimum is
Let $A, G, H$ and $S$ respectively denote the arithmetic mean, geometric mean, harmonic mean and the sum of the numbers $a_1 , a_2 , a_3 ....., a_n$ . Then the value of at which the function $f(x) =\displaystyle \sum^n_{k =1} (x -a_k)^2$ has minimum is
- S
- H
- G
- A
5. A solid copper sphere of density $\rho$, specific heat capacity $C$ and radius $r$ is initially at $200\, K$. It is suspended inside a chamber whose walls are at $0\, K$. The time required (in (is) for the temperature of the sphere to drop to $100 \,K$ is
($\sigma$ is Stefan's constant and all the quantities are in SI units)
A solid copper sphere of density $\rho$, specific heat capacity $C$ and radius $r$ is initially at $200\, K$. It is suspended inside a chamber whose walls are at $0\, K$. The time required (in (is) for the temperature of the sphere to drop to $100 \,K$ is
($\sigma$ is Stefan's constant and all the quantities are in SI units)
- $48 \frac{r\rho C}{\sigma}$
- $\frac{1}{48} \frac{r\rho C}{\sigma}$
- $\frac{27}{7} \frac{r\rho C}{\sigma}$
- $\frac{7}{27} \frac{r\rho C}{\sigma}$
6. Let $M$ and $m$ respectively denote the maximum and the minimum values of $[f(\theta)]^{2}$, where $f(\theta)=\sqrt{a^{2} \cos ^{2} \theta+b^{2} \sin ^{2} \theta}$
$+\sqrt{a^{2} \sin ^{2} \theta+b^{2} \cos ^{2} \theta}$. Then $M-m=$
Let $M$ and $m$ respectively denote the maximum and the minimum values of $[f(\theta)]^{2}$, where $f(\theta)=\sqrt{a^{2} \cos ^{2} \theta+b^{2} \sin ^{2} \theta}$
$+\sqrt{a^{2} \sin ^{2} \theta+b^{2} \cos ^{2} \theta}$. Then $M-m=$
- $a^2 + b^2$
- $(a -b)^2$
- $a^2 b^2$
- $(a + b)^2$
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