Statement-`1` : If the foci of a hyperbola are at `(4,1)` and `(-6,1)` and eccentricity is `(5)/(4)`, then the length of its transverse axis is `4`.
Statement-`2` : Distance between the foci of a hyperbola is equal to the product of its eccentricity and length of the transverse axis.

Options

A. `1`
B. `2`
C. `3`
D. `4`

Explanation

To solve the problem step-by-step, we will analyze both statements regarding the hyperbola.

### Step 1: Identify the foci and calculate the distance between them
The foci of the hyperbola are given as \( (4, 1) \) and \( (-6, 1) \).

To find the distance between the foci, we use the distance formula:
\[
\text{Distance} = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}
...