The coordinates of the point at which the line `3x + 4y = 7` is a normal to the hyperbola `x^2/a^2-y^2/b^2=1`, are

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=

Prove that the line y = x - 1 cannot be a normal of the hyperbola x^(2) - y^(2) = 1 .

If the straight line y =kx+3 is a tangent to the hyperbola 7x^2-4y^2=28 , find K

Coordinates of the point on the stratight line x +y =4, which is nearest to the parabola y ^(2) =4 (x -10) is (a, b), then a ^(2)+b ^(2) is "______"

The line 9sqrt(3x)+12y=234 sqrt(3) is a normal to the hyperbola (x^(2))/(81)-(y^(2))/(36)=1 at the points

If from point P(3,3) on the hyperbola a normal is drawn which cuts x-axis at (9,0) on the hyperbola x^2/a^2-y^2/b^2=1 the value of (a^2,e^2) is

Find the equation of normal to the hyperbola x^2-9y^2=7 at point (4, 1).

Find the equation of normal to the hyperbola x^2-9y^2=7 at point (4, 1).