1
GATE ECE 2015 Set 1
Numerical
+1
-0
The waveform of a periodic signal x(t) is shown in the figure. GATE ECE 2015 Set 1 Signals and Systems - Miscellaneous Question 15 English

A signal g(t) is defined by $$g(t) = x\left( {{{t - 1} \over 2}} \right)$$.

The average power of g(t) is___________________________.

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2
GATE ECE 2015 Set 1
MCQ (Single Correct Answer)
+1
-0.3
If $$\log_x\left(\frac57\right)=\frac{-1}3$$, then the value of x is
A
343/125
B
125/343
C
-25/49
D
-49/25
3
GATE ECE 2015 Set 1
MCQ (Single Correct Answer)
+1
-0.3
Operators $$\square$$,◊,$$\rightarrow$$ are defined by : a $$\square$$ b = $$\frac{a-b}{a+b}$$; a ◊ b = $$\frac{a+b}{a-b}$$; a $$\rightarrow$$ b = ab. Find the value of (66 $$\square$$ 6) $$\rightarrow$$ (66 ◊ 6).
A
-2
B
-1
C
1
D
2
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