If the line ` y = mx + 7 sqrt(3)` is normal to the hyperbola `(x^(2))/(24)-(y^(2))/(18)=1`, then a value of m is :

If m_(1) and m_(2) are two values of m for which the line y = mx+ 2sqrt(5) is a tangent to the hyperbola (x^(2))/(4)-(y^(2))/(16)=1 then the value of |m_(1)+(1)/(m_(2))| is equal to

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 y=mx+7sqrt(3) is normal to (x^(2))/(18)-(y^(2))/(24)=1 then the value of m can be

If the line y = mx + sqrt(a^(2) m^(2) -b^(2)), m = (1)/(2) touches the hyperbola (x^(2))/(16)-(y^(2))/(3) =1 at the point (4 sec theta, sqrt(3) tan theta) then theta is

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

If the line y = mx + sqrt(a^(2)m^(2) - b^(2)) touches the hyperbola x^(2)/a^(2) - y^(2)/b^(2) = 1 at the point (a sec theta, b tan theta) , then find theta .

The line y=mx+c is a normal to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1, if c

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

Find the value of m for which y=mx+6 is tangent to the hyperbola (x^(2))/(100)-(y^(2))/(49)=1