Tangents are drawn from the point `((alpha,beta))` to the hyperbola `3x^(2)-2y^(2)=6` and are inclined at angle `theta` and `phi` to the X - axis.If `tan theta*tan phi=2`,then the value of `2 alpha^(2)-beta^(2)` is

Tangents are drawn from the point (alpha,2) to the hyperbola 3x^(2)-2y^(2)=6 and are inclined at angles theta and phi to the x-axis.If tan theta,tan phi=2, then the value of 2 alpha^(2)-7 is

nd are inclined at avgics Tangents are drawn from the point (alpha,beta) to the hyperbola 3x^(2)-2y^(2)=6 and are inclined atv angle theta and phi to the x-axis.If tan theta.tan phi=2 , prove that beta^(2)=2 alpha^(2)-7

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

Tangents drawn from the point (c, d) to the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 make angles alpha and beta with the x-axis. If tan alpha tan beta=1 , then find the value of c^(2)-d^(2) .

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

Tangents drawn from the point (c,d) to the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 make angles alpha and beta with the x -axis. If tanalphatanbeta=1 , then c^(2)-d^(2)=

Two tangents are drawn from the point (-2,-1) to the parabola y^(2)=4x .If theta is the angle between these tangents,then the value of tan theta is

Two tangents are drawn from a point on hyperbola x^(2)-y^(2)=5 to the ellipse (x^(2))/(9)+(y^(2))/(4)=1 . If they make angle alpha and beta with x-axis, then

Two tangent are drawn from the point (-2,-1) to parabola y^(2)=4x. if alpha is the angle between these tangents,then find the value of tan alpha.