The exhaustive set of values of `alpha^2` such that there exists a tangent to the ellipse `x^2+alpha^2y^2=alpha^2` and the portion of the tangent intercepted by the hyperbola `alpha^2x^2-y^2=1` subtends a right angle at the center of the curves is:

The exhaustive set value of alpha^2 such that there exists a tangent to the ellipse x^2+alpha^2y^2=alpha^2 and the portion of the tangent intercepted by the hyperbola alpha^2x^2-y^2 subtends a right angle at the center of the curves is [(sqrt(5)+1)/2,2] (b) (1,2] [(sqrt(5)-1)/2,1] (d) [(sqrt(5)-1)/2,1]uu[1,(sqrt(5)+1)/2]

The exhaustive set value of alpha^2 such that there exists a tangent to the ellipse x^2+alpha^2y^2=alpha^2 and the portion of the tangent intercepted by the hyperbola alpha^2x^2-y^2 subtends a right angle at the center of the curves is (a) [(sqrt(5)+1)/2,2] (b) (1,2] (c) [(sqrt(5)-1)/2,1] (d) [(sqrt(5)-1)/2,1]uu[1,(sqrt(5)+1)/2]

The exhaustive set of values of alpha^(2) such that there exists a tangent to the ellipse x^(2)+alpha^(2)y^(2)=alpha^(2) and the portion of the tangent intercepted by the hyperbola alpha^(2)x^(2)-y^(2)=1 subtends a right angle at the center of the curves is:

The condition that the chord x cos alpha+y sin alpha-p=0 of x^(2)+y^(2)-a^(2)=0 may subtend a right angle at the center of the circle is

Find the condition for the line x cos alpha +y sin alpha =p to be a tangent to the ellipse x^2/a^2+y^2/b^2=1 .

The condition that the line x cos alpha + y sin alpha =p to be a tangent to the hyperbola x^(2)//a^(2) -y^(2)//b^(2) =1 is

The condition that the line x cos alpha + y sin alpha =p to be a tangent to the hyperbola x^(2)//a^(2) -y^(2)//b^(2) =1 is

The line x cos alpha + y sin alpha =p is tangent to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1. if

The line x cos alpha + y sin alpha = p is tangent to the ellipse (x^(2))/(a^(2)) +(y^(2))/(b^(2)) = 1 if :