The equation of the reflection of the hyperbola`(x-4)^2/16-(y-3)^2/9=1` about the line x+y-2 = 0 is

The equation of the latusrectum of the hyperbola ((x-4)^(2))/(16)-((y-3)^(2))/(20)=1 are

If the equation on reflection of ((x-4)^(2))/16+((y-3)^(2))/9=1 about the line x-y-2=0 is 16x^(2)+9y^(2)+k_(1)x-36y+k_(2)=0 then (k_(1)+k_(2))/22 is

If the reflection of the ellipse ((x-4)^(2))/(16)+((y-3)^(2))/(9) =1 in the mirror line x -y -2 = 0 is k_(1)x^(2)+k_(2)y^(2)-160x -36y +292 = 0 , then (k_(1)+k_(2))/(5) is equal to

Find the equation of normal to the hyperbola (x^(2))/(16)-(y^(2))/(9)=1 at (-4,0)

The foci of the hyperbola (x^(2))/(16) -(y^(2))/(9) = 1 is :

The equation of a tangent to the hyperbola 9x^2 - 12y^2 = 144 parallel to the line x- y=5 is:

The mid-point of the chord intercepted by the hyperbola 9x^(2)-16y^(2)=144 on the line 9x-8y-10=0 , is

The equation of the tangent to the hyperbola 16x^(2)-9y^(2)=144 at (5,8//3) , is