If the locus of the foot of perpendicular from the centre upon any normal to the hyperbola `x^2/1-y^2/2=1` is `(x^2 + y^2)(k_1y^2-k_2x^2) = (k_1)^2 x^2 y^2`, then the value of `(k_1 +k_2 + k_3)` is -

If the locus of the foot of perpendicular from the centre upon any normal to the hyperbola (x^(2))/(1)-(y^(2))/(2)=1 is (x^(2)+y^(2))(k_(1)y^(2)-k_(2)x^(2))=(k_(1))^(2)x^(2)y^(2), then the value of (k_(1)+k_(2)+k_(3)) is -

Find the locus of the foot of perpendicular from the centre upon any normal to line hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 .

Find the locus of the foot of perpendicular from the centre upon any normal to line hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 .

Find the locus of the foot of perpendicular from the centre upon any normal to line hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 .

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

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

The line y=3x-k is a tangent to the hyperbola 6x^2-9y^2=1 if k=_____.

A circle with centre (3a,3b) and with variable radius cuts the hyperbola x^(2)-y^(2)=36 at the points A,B,C and D . If the locus of the centroid of Delta ABC is (x-k_(1)a)^(2)-(y-k_(2)b)^(2)=k_(3) . then value of k_1, k_2 and k_3

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