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

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 a line x + 2y = k touches tot he ellipse ( x^(2))/( 9) + (y^(2))/( 4) = 1 then find k

The line x-y + k =0 is normal to the ellipse (x^2)/(9) + (y^2)/(16)=1 , then k=

If y = 2x + k " touches " x^(2) + y^(2) - 4x - 2y = 0 , then k=

If e_(1) and e_(2) are the eccentricities of the ellipse (x^(2))/(18)+(y^(2))/(4)=1 and the hyperbola (x^(2))/(9)-(y^(2))/(4)=1 respectively and (e_(1), e_(2)) is a point on the ellipse 15x^(2)+3y^(2)=k , then the value of k is equal to

If e_(1) and e_(2) are the eccentricities of the ellipse (x^(2))/(18)+(y^(2))/(4)=1 and the hyperbola (x^(2))/(9)-(y^(2))/(4)=1 respectively and (e_(1), e_(2)) is a point on the ellipse 15x^(2)+3y^(2)=k , then the value of k is equal to

If the line 3x - 4y - k = 0 (k gt 0) touches the circle x^(2)+y^(2)-4x-8y-5 =0 at (a, b) then k + a + b is equal to :-

If line 4x + 3y + k = 0 " touches circle " 2x^(2) + 2y^(2) = 5x , then k =

IF the line x + y +k =0 is a normal to the hyperbola (x^2)/(9)-(y^2)/(4)=1 then k=