If in the ellipse `x^2/36+y^2/9=1`,a chord through the points `(4, 0)` has the points `(2, alpha)` as its mid point, find `alpha`.

The normal at the point (3,2sqrt3) on the ellipse x^2/36+y^2/16= 1 meets the major axis of the ellipse at (alpha,0) , the value of alpha is :

The chrods of contact of the pair of tangents to the circle x^(2)+y^(2)=1 dravwm from any point on the line 2x+y=4 paas through the point (alpha,beta) then find alpha and beta .

The chrods of contact of the pair of tangents to the circle x^(2)+y^(2)=1 dravwm from any point on the line 2x+y=4 paas through the point (alpha,beta) then find alpha and beta .

The equation of the chord of the hyperbola 4x^(2) -9y^(2) =36 having (-2,1) as its mid-point is

The equation of the chord of the ellipse 2x^(2)+3y^(2)=6 having (1,-1) as its mid point is

Find the equation of the chord of contact of the point (5, 1) to the hyperbola, x^(2) - 4y^(2) = 16 . Also find the mid-point of this chord.

Tangent are drawn from every point on the line x+5y=4 to the ellipse (x^(2))/(5)+(y^(2))/(3)=1 ,then the corresponding chord of contact always passes through the point (alpha,beta) then (alpha+beta) equals

Tangent are drawn from every point on the line x+5y=4 to the ellipse (x^(2))/(5)+(y^(2))/(3)=1 ,then the corresponding chord of contact always passes through the point (alpha,beta) ,then (alpha+beta) equals

A point on the ellipse 4x^(2) +9y^(2) = 36 where the normal is parallel to the line 4x- 2y -5=0 is

Find the equation of the chord of contact of the point (3,1) to the ellipse x^2+9y^2=9 . Also find the mid-point of this chord of contact.