Home
Class 12
MATHS
From a point O on the circle x^2+y^2=d^2...

From a point O on the circle `x^2+y^2=d^2`, tangents OP and OQ are drawn to the ellipse `x^2/a^2+y^2/b^2=1` `(a>b)`.Show that the locus of the mid point of the chord PQ describes the curve `x^2+y^2=d^2[x^2/a^2+y^2/b^2]^2`.

Promotional Banner

Similar Questions

Explore conceptually related problems

Tangents at right angle are drawn to the ellipse x^(2)/a^(2)+y^(2)/b^(2)=1 . Show that the focus of the middle points of the chord of contact is the curve (x^(2)/a^(2)+y^(2)/b^(2))^(2)=(x^(2)+y^(2))/(a^(2)+b^(2)) .

Tangents at right angle are drawn to the ellipse x^(2)/a^(2)+y^(2)/b^(2)=1 . Show that the focus of the middle points of the chord of contact is the curve (x^(2)/a^(2)+y^(2)/b^(2))^(2)=(x^(2)+y^(2))/(a^(2)+b^(2)) .

Tangents at right angle are drawn to the ellipse x^(2)/a^(2)+y^(2)/b^(2)=1 . Show that the focus of the middle points of the chord of contact is the curve (x^(2)/a^(2)+y^(2)/b^(2))^(2)=(x^(2)+y^(2))/(a^(2)+b^(2)) .

From points on the circle x^2+y^2=a^2 tangents are drawn to the hyperbola x^2-y^2=a^2 . Then, the locus of mid-points of the chord of contact of tangents is:

The locus of mid point of focal chords of ellipse x^2 / a^2 +y^2/b^2 =1

From the origin, chords are drawn to the circle (x-1)^2 + y^2 = 1 . The equation of the locus of the mid-points of these chords

From the origin, chords are drawn to the circle (x-1)^2 + y^2 = 1 . The equation of the locus of the mid-points of these chords

From the origin chords are drawn to the circle x^(2)+y^(2)-2y=0 . The locus of the middle points of these chords is

From the origin chords are drawn to the circle (x-1)^(2)+y^(2)=1 . Show that the equation of the locus of the mid points of these chords is x^(2)+y^(2)=x=0