1
GATE ECE 2020
Numerical
+2
-0

$X$ is a random variable with uniform probability density function in the interval $[-2,10]$. For $Y=2 X-6$, the conditional probability $P(Y \leq 7 \mid X \geq 5)$ (rounded off to three decimal places) is $\_\_\_\_$ .

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2
GATE ECE 2020
MCQ (Single Correct Answer)
+2
-0.67

Which one of the following options contains two solutions of the differential equation $\frac{d y}{d x}=(y-1) x$ ?

A

$\ln |y-1|=0.5 x^2+c$ and $y=-1$

B

$\ln |y-1|=2 x^2+c$ and $y=-1$

C

$\ln |y-1|=0.5 x^2+c$ and $y=1$

D

$\ln |y-1|=2 x^2+c$ and $y=1$

3
GATE ECE 2020
Numerical
+1
-0

In an 8085 microprocessor, the number of address lines required to access a 16 K bytes memory bank is

$\_\_\_\_$ .

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4
GATE ECE 2020
Numerical
+1
-0

In the given circuit, the two-port network has the impedance matrix $[Z]=\left[\begin{array}{cc}40 & 60 \\ 60 & 120\end{array}\right]$. The value of $Z_L$ for which maximum power is transferred to the load is $\_\_\_\_$ $\Omega$.

GATE ECE 2020 Network Theory - Two Port Networks Question 3 English
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