The locus of the point of intersection of two perpendicular tangents of the ellipse $\frac{x^{2}}{9} + \frac{y^{2}}{4} = 1$ is:

x^{2} + y^{2} = 4

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

x^{2} + y^{2} = 9

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

x^{2} + y^{2} = 13

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

x^{2} + y^{2} = 5

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

Open in App

Solution

The correct option is C $x^{2} + y^{2} = 13$
We know the locus of point of intersection of tangents which meet at right angle is called director circle and its' equation is given by, $x^{2} + y^{2} = a^{2} + b^{2} = 13$

Suggest Corrections

Similar questions

Q. The locus of the point of intersection of the perpendicular tangents to ellipse

\frac{x^{2}}{9} + \frac{y^{2}}{4} = 1

Consider two points whose ordinates differ by 3, on the ellipse. The tangents at these variable points, intersect at P. find the locus of P.

Q. From any point P on the circle

x^{2} + y^{2} = 9

two tangents are drawn to circle

x^{2} + y^{2} = 4

which cut

x^{2} + y^{2} = 9

at A and B then locus of point of intersection of tangents drawn

x^{2} + y^{2} = 9

at A and B is the curve

The locus of the point of intersection of the tangents at the extremities of the chord of the ellipse $x^{2} + 2 y^{2} = 6$ which also touches the ellipse $x^{2} + 4 y^{2} = 4,$ is

Q. The locus of the point of intersection of two perpendicular tangents to the circle

x^{2} + y^{2} = a^{2}

Join BYJU'S Learning Program

The locus of the point of intersection of two perpendicular tangents of the ellipse x29+y24=1 is:

The correct option is C x2+y2=13We know the locus of point of intersection of tangents which meet at right angle is called director circle and its' equation is given by, x2+y2=a2+b2=13

The locus of the point of intersection of two perpendicular tangents of the ellipse $\frac{x^{2}}{9} + \frac{y^{2}}{4} = 1$ is:

The correct option is C $x^{2} + y^{2} = 13$
We know the locus of point of intersection of tangents which meet at right angle is called director circle and its' equation is given by, $x^{2} + y^{2} = a^{2} + b^{2} = 13$