If tangents drawn from the point `(a ,2)` to the hyperbola `(x^2)/(16)-(y^2)/9=1` are perpendicular, then the value of `a^2` is _____

Find the equation of pair of tangents drawn from point (4, 3) to the hyperbola (x^(2))/(16)-(y^(2))/(9)=1 . Also, find the angle between the tangents.

How many real tangents can be drawn from the point (4,3) to the hyperbola (x^(2))/(16)-(y^(2))/(16)=1? Find the equation of these tangents and the angle between them.

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

The number of tangents drawn from point (-5,3) to the hyperbola (x^(2))/(25)-(y^(2))/(9)=1 are 0 (2) 1 (3) 2 (5) 4

If two distinct tangents can be drawn from the point (alpha, alpha+1) on different branches of the hyperbola (x^(2))/(9)-(y^(2))/(16)=1 , then find the values of alpha .

Angle between the tangents drawn from point (4, 5) to the ellipse x^2/16 +y^2/25 =1 is

Tangents are drawn from a point on the circle x^(2)+y^(2)=11 to the hyperbola x^(2)/(36)-(y^(2))/(25)=1 ,then tangents are at angle:

Find the equations of the tangents drawn from the point (2,3) to the ellipse 9x^(2)+16y^(2)=144

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 are drawn from the point (4, 2) to the curve x^(2)+9y^(2)=9 , the tangent of angle between the tangents :