Question

1.u(t-a)=0 ,if

1.t-a=0
2.t-a<0
3.t-a>0
4.None

​

Answer 1

Answer: Option 1. t-a=0

Step-by-step explanation: if the t-a =0 then the whole equation will be zero because any number multiplied by zero is zero

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Answer 2

Final Answer:

The correct condition satisfying the equation $u(t-a)=0$ is $t-a=0$, and the corresponding correct option is 1.

Given:

The equation u(t-a)=0, and the options satisfying it are

1. $t-a=0$

2. $t-a < 0$

3. $t-a > 0$

4. None

To Find:

The correct condition that satisfies the equation $u(t-a)=0$, and the corresponding correct option.

Explanation:

The following points are necessary to arrive at the solution.

• An equation can have any number of variables, coefficients, and constants.
• The solution for any equation can be calculated, depending on the conditions valid for it.

Step 1 of 3

As it is stated that $u(t-a)=0$, note the following.

• Either $u=0$, or $(t-a)=0$
• Both these expressions cannot be equal to zero simultaneously.

Step 2 of 3

In accordance with the above calculations, the only condition that matches the options stated in the problem is $(t-a)=0$.

Step 3 of 3

So, it is evident that the other options are not valid and the correct option is  1 corresponding to $(t-a)=0$.

Therefore, the required condition satisfying the equation $u(t-a)=0$ is $t-a=0$, and the corresponding correct option is 1.

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