Prove that the straight line `y = mx + 2csqrt(-m), m in R`, always touches the hyperbola `xy = c^2`.

Find the condition that the straight line y = mx + c touches the hyperbola x^(2) - y^(2) = a^(2) .

Find the condition that the straight line y = mx + c touches the hyperbola x^(2) - y^(2) = a^(2) .

The straight line x+ y= sqrt(2) p will touch the hyperbola 4x^(2) - 9y^(2) = 36 if-

Prove that the straight line 5x + 12 y = 9 touches the hyperbola x ^(2) - 9 y ^(2) =9 and find the point of contact.

The line y = mx + sqrt( 4 + 4m^(2)), m in R , is a tangent to the circle

The line y = mx + sqrt( 4 + 4m^(2)), m in R , is a tangent to the circle

The line y=mx+2 touches the hyperola 4x^(2)-9y^(2)=36 then m=

The line y=mx+2 touches the hyperola 4x^(2)-9y^(2)=36 then m=

Let a variable line intersects the coordinate axis at points A&B ,such that area of triangle AOB is always 2 square units.Then the line always touch the hyperbola.(A) xy=1 (B) xy=2 (C) xy=4 (D) x^(2)-y^(2)=1

The straight line x+y=-sqrt2P will touch the hyperbola 4x^2-9y^2=36 if