Locus of the point of intersection of the tangent at the end points of the focal chord of the ellipse $\frac{x^{2}}{a^{2}} + \frac{y^{2}}{b^{2}} = 1$ , $(b < a)$ is a/an

circle

No worries! We‘ve got your back. Try BYJU‘S free classes today!

ellipse

No worries! We‘ve got your back. Try BYJU‘S free classes today!

hyperbola

No worries! We‘ve got your back. Try BYJU‘S free classes today!

pair of straight lines

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is C pair of straight lines
The locus of point of intersection of tangents at the end points of focal chord is the directrix and so the locus is $x = \pm \frac{a}{e}$ , a pair of straight lines.

Suggest Corrections

Similar questions

\frac{x^{2}}{a^{2}} + \frac{y^{2}}{b^{2}} = 1, (b ⟨ a)

\frac{x^{2}}{a^{2}} + \frac{y^{2}}{b^{2}} = 1

p (θ), D (θ + \frac{π}{2})

\frac{x^{2}}{a^{2}} + \frac{y^{2}}{b^{2}} = 1

\frac{x^{2}}{a^{2}} + \frac{y^{2}}{b^{2}} = 1

\frac{x^{2}}{a^{2}} - \frac{y^{2}}{b^{2}} = 1

Join BYJU'S Learning Program