Given Equation:
![\[{{x}^{2}}-{{y}^{2}}=1\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-3c3524228b37e34fb77689b1f7784f24_l3.png "Rendered by QuickLaTeX.com")
Comparing with the equation of hyperbola
![\[\frac{{{x}^{2}}}{{{a}^{2}}}-\frac{{{y}^{2}}}{{{b}^{2}}}=1\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-d34b8d9c36294615215fbaa34b025265_l3.png "Rendered by QuickLaTeX.com")
(i)Length of Transverse axis =
![\[2a=2\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-5fe7dc0f34fc0296bd9216087124ae5a_l3.png "Rendered by QuickLaTeX.com")
units.
Length of Conjugate axis =
![\[2b=2\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-0ab71c4ce563d76a041c30ab2de635d3_l3.png "Rendered by QuickLaTeX.com")
units.
(ii)coordinates of the vertices =
![\[(\pm a,0)=(\pm 1,0)\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-47bb8e586c03d5efb2e2bae22b679902_l3.png "Rendered by QuickLaTeX.com")
Find the (i) lengths of the axes, (ii) coordinates of the vertices
Find the (i) lengths of the axes, (ii) coordinates of the vertices