[" If "(x^(2))/(a^(2))+(y^(2))/(b^(2))=1(a>b)" and "x^(2)-y^(2)=c^(2)" cut at right angles,then "],[[" (a) "a^(2)+b^(2)=2c^(2)," (b) "b^(2)-a^(2)=2c^(2)," (c) "a^(2)-b^(2)=2c^(2)]]

If x^2/a^2+y^2/b^2=1(a gt b) and x^2-y^2=c^2 cut at right angles , then :

if two curves (x^(2))/(a^(2))+(y^(2))/(b^(2))=1&(x^(2))/(a)^(2)+(y^(2))/(b)^(2)=1 one another at right angle then

If the curves (x^(2))/(a)+(y^(2))/(b)=1 and (x^(2))/(c )+(y^(2))/(d)=1 intersect at right angles then prove that a-b=c-d

If the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1(b>a) and the parabola y^(2)=4ax cut at right angles,then eccentricity of the ellipse is

If the chords of contact of tangents fromtwo points (x_(1),y_(1)) and (x_(2),y_(2)) to the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 are at right angles,then (x_(1)x_(2))/(y_(1)y_(2)) is equal to (a) (a^(2))/(-b^(2))( b) (b^(2))/(-a^(2))( c) (b^(4))/(-a^(4))

The angle of intersection of the curves (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 and x^(2)+y^(2)=ab, is

If y=m x+c is a tangent to (x^(2))/(a^(2))+(y^(2))/(b^(2)) = 1 then b^(2) =

If the curves y^(2) = 16x and 9x^(2)+by^(2) =16 cut each other at right angles, then the value of b is

if two curves C_(1):x=y^(2) and C_(2):xy=k cut at right angles,then value of k is :