If `alpha+beta=3pi` , then the chord joining the points `alpha` and `beta` for the hyperbola `(x^2)/(a^2)-(y^2)/(b^2)=1` passes through which of the following points? Focus (b) Center One of the endpoints of the transverse exis. One of the endpoints of the conjugate exis.

If alpha+beta=3pi , then the chord joining the points alpha and beta for the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 passes through which of the following points? (a)Focus (b) Center (c)One of the endpoints of the transverse exis. (d)One of the endpoints of the conjugate exis.

If alpha-beta is constant prove that the chord joining the points alpha and beta on the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2)) =1 touches a fixed ellipse

If alpha-beta is constant prove that the chord joining the points alpha and beta on the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2)) =1 touches a fixed ellipse

Find the equation of the chord joining point P(alpha) and Q(beta) on the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1.

The locus of the mid points of the chords passing through a fixed point (alpha, beta) of the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 is

If tanalphatanbeta=-(a^(2))/(b^(2)) , then the chord joining the points 'alpha' and 'beta' on the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 will subtend a right angle at the :

If alpha and beta are two points on the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 and the chord joining these two points passes through the focus (ae,0) then e cos((alpha-beta)/(2))

Tangents to the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 make angles alpha and beta with the transverse axis. Find the locus of the their point of intersection if tan alpha + tan beta = k