The point at which the hyperbola intersects the transverse axis are called the ................. of the hyperbola.

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Solution

From the figure, the points $A$ and $A^{'}$ where the curve meets the line joining the foci $S$ and $S^{'}$ i.e. the point at which the hyperbola intersects the transverse axis are called vertices of the hyperbola.

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Similar questions

Q. The line segment containing both foci of a hyperbola whose endpoints are both on the hyperbola is called the transverse axis

Q. A hyperbola has its centre at the origin, passes through the point

(4, 2)

and has transverse axis of length

4

along the

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Q. A hyperbola has

y

-axis and

x

-axis as its conjugate axis and transverse axis respectively. If one of the points of intersection of

x

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(4, 0)

and equation of one of the tangents is

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then the equation of the hyperbola is

Which of the following statements are correct?

1. The particular kind of hyperbola in which the lengths of the transverse and conjugate axis are equal is called an equilateral hyperbola.

2. Eccentricity of equilateral hyperbola = $\sqrt{2}$
3. Equation of pair of asymptotes of rectangular hyperbola $x^{2} - y^{2} = a^{2}$ is $x^{2} - y^{2} = 0$

4. Equation of pair of asymptotes of rectangular hyperbola $x^{2} - y^{2} = a^{2}$ is $x^{2} - y^{2} = - a^{2}$

Q. The normal at P to a hyperbola of eccentricity e, intersects its transverse and conjugate axes at L and M respectively. If locus of the mid-point of LM is a hyperbola, then eccentricity of the hyperbola is

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The point at which the hyperbola intersects the transverse axis are called the ................. of the hyperbola.

From the figure, the points A and A′ where the curve meets the line joining the foci S and S′ i.e. the point at which the hyperbola intersects the transverse axis are called vertices of the hyperbola.

From the figure, the points $A$ and $A^{'}$ where the curve meets the line joining the foci $S$ and $S^{'}$ i.e. the point at which the hyperbola intersects the transverse axis are called vertices of the hyperbola.