In a given standrard hyperbola x2-a2-y2-b2-1 - What is the length of transverse axis-

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Transverse Axis of Hyperbola

In a given st...

Question

In a given standrard hyperbola $\frac{x^{2}}{a^{2}} - \frac{y^{2}}{b^{2}} = 1$ .What is the length of transverse axis?

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Solution

The correct option is A
2a

Tranverse axis is the one which pass through centre of the hyperbola

and cut hyperbola at 2 real points, the vertices of the hyperbola.

In standard hyperbola of the form $\frac{x^{2}}{a^{2}} - \frac{y^{2}}{b^{2}} = 1$ ,

the vertices are (a,0) and (-a,0) and hence the length of transverse axis=2a

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In a given standrard hyperbola x2a2−y2b2=1.What is the length of transverse axis?

The correct option is A 2a Tranverse axis is the one which pass through centre of the hyperbola and cut hyperbola at 2 real points, the vertices of the hyperbola. In standard hyperbola of the form x2a2−y2b2=1, the vertices are (a,0) and (-a,0) and hence the length of transverse axis=2a

In a given standrard hyperbola $\frac{x^{2}}{a^{2}} - \frac{y^{2}}{b^{2}} = 1$ .What is the length of transverse axis?