Home
Class 12
MATHS
If any two chords be drawn through two p...

If any two chords be drawn through two points on the major axis of the ellipse `x^2/a^2+y^2/b^2=1` equidistant from the centre. If `α,β,γ,δ` are the eccentric angles of the extremities of the chords, then the value of `tan(α/2)tan(β/2)tan(γ/2)tan(δ/2)`, is

Text Solution

AI Generated Solution

Promotional Banner

Similar Questions

Explore conceptually related problems

Find the eccentric angles of the extremities of the latus recta of the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1

If A,B,C are angles of a triangle ,then the minimum value of tan^(2)(A/2)+tan^(2)(B/2)+tan^(2)(C/2) , is

Length of the focal chord of the ellipse x^2/a^2+y^2/b^2= 1 which is inclined to the major axis at angle theta is

The eccentric angle of a point on the ellipse x^(2)/6 + y^(2)/2 = 1 whose distance from the centre of the ellipse is 2, is

If any two chords be drawn through two points on major axis of an ellipse equidistant from centre, then tan((alpha)/(2))tan((beta)/(2))tan((gamma)/(2))tan((delta)/(2)) = _____, ( where alpha, beta, gamma, delta are ecentric angles of extremities of chords )

If the chord, joining two points whose eccentric angles are alpha and beta , cuts the major axis ofthe ellipse x^2/a^2 + y^2/b^2=1 at a distance c from the centre, then tan alpha//2.tan beta//2 is equal to

The locus of the mid-points of the chords of the ellipse x^2/a^2+y^2/b^2 =1 which pass through the positive end of major axis, is.

There are exactly two points on the ellipse (x^2)/(a^2)+(y^2)/(b^2) =1 whose distance from the centre of the ellipse are equal to sqrt((3a^2-b^2)/(3)) . Eccentricity of this ellipse is

There are exactly two points on the ellipse (x^2)/(a^2)+(y^2)/(b^2) =1 whose distance from the centre of the ellipse are equal to sqrt((3a^2-b^2)/(3)) . Eccentricity of this ellipse is

If in triangle ABC (r)/(r_(1))=(1)/(2), then the value of tan(A/2)(tan(B/2)+tan(C/2)) is equal to