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

Distance between two foci of the hyperbola `=2ae`
`:. 4+6=2aeimplies10=2xx(5)/(4)xxaimpliesa=4`.
Hence, length of transverse axis `=8`.
So, statement-`1` is not true.
Distance between foci `=2ae=` Transverse axis `xx` Eccentricity.
So, statement-`2` is not true.