Let (alpha,beta) be a point from which two perpendicular tangents can be drawn to the ellipse `4x^(2)+5y^(2)=20`. If `F=4alpha+3beta`, then

If two perpendicular tangents can be drawn from the point (alpha,beta) to the hyperbola x^(2)-y^(2)=a^(2) then (alpha,beta) lies on

From the point (alpha,beta) two perpendicular tangents are drawn to the parabola (x-7)^(2)=8y Then find the value of beta

If two perpendicular tangents are drawn from a point (alpha,beta) to the hyperbola x^(2) - y^(2) = 16 , then the locus of (alpha, beta) is

If two tangents can be drawn to the differentanches of hyperbola (x^(2))/(1)-(y^(2))/(4)=1 from the point (alpha,alpha^(2)) then

If the chords of contact of tangents from two points (alpha,beta) and (gamma, delta) to the ellipse x^(2)/5+y^(2)/2=1 are perpendicular, then (alphagamma)/(betadelta) =

If the length of the tangent drawn from (alpha,beta) to the circle x^(2)+y^(2)=6 be twice the length of the tangent from the same point to the circle x^(2)+y^(2)+3x+3y=0, then prove that alpha^(2)+beta^(2)+4 alpha+4 beta+2=0

If the tangent to the parabola y^(2)-4x at a point (alpha,beta).(beta>0) is also a tangent to the ellipse, (x^(2))/(4)+(y^(2))/(3)=1 then alpha is equal to: