Questions in conic-section

Select	Question
	The equation of the tangents to the hyperbola $3{{x}^{2}}-4{{y}^{2}}=12$ which cuts equal intercepts from the axes, are
	If ${{m}_{1}}$ and ${{m}_{2}}$are the slopes of the tangents to the hyperbola $\frac{{{x}^{2}}}{25}-\frac{{{y}^{2}}}{16}=1$ which pass through the point (6, 2), then
	The equation of the tangent to the hyperbola $4{{y}^{2}}={{x}^{2}}-1$ at the point (1, 0) is
	The value of m for which $y=mx+6$ is a tangent to the hyperbola $\frac{{{x}^{2}}}{100}-\frac{{{y}^{2}}}{49}=1$, is
	The equation of the tangent to the conic ${{x}^{2}}-{{y}^{2}}-8x+2y+11=0$ at (2, 1) is
	The point of contact of the line $y=x-1$ with $3{{x}^{2}}-4{{y}^{2}}=12$ is
	If the straight line $x\cos \alpha +y\sin \alpha =p$ be a tangent to the hyperbola $\frac{{{x}^{2}}}{{{a}^{2}}}-\frac{{{y}^{2}}}{{{b}^{2}}}=1$, then
	If the tangent on the point $(2\sec \varphi ,\ 3\tan \varphi )$ of the hyperbola $\frac{{{x}^{2}}}{4}-\frac{{{y}^{2}}}{9}=1$ is parallel to $3x-y+4=0$, then the value of $\varphi$ is
	The radius of the director circle of the hyperbola $\frac{{{x}^{2}}}{{{a}^{2}}}-\frac{{{y}^{2}}}{{{b}^{2}}}=1$, is
	What is the slope of the tangent line drawn to the hyperbola $xy=a\,(a\ne 0)$ at the point (a, 1)