Questions in conic-section

Select	Question
	If ${{x}^{2}}+6x+20y-51=0$ , then axis of parabola is
	The equation of the tangent to the parabola $y={{x}^{2}}-x$ at the point where $x=1$ , is
	The point of intersection of the latus rectum and axis of the parabola ${{y}^{2}}+4x+2y-8=0$
	The point of contact of the tangent $18x-6y+1=0$ to the parabola ${{y}^{2}}=2x$ is
	The equation of the common tangent of the parabolas ${{x}^{2}}=108y$ and ${{y}^{2}}=32x$ , is
	The line $lx+my+n=0$ will touch the parabola ${{y}^{2}}=4ax$ , if
	The line $x\cos \alpha +y\sin \alpha =p$ will touch the parabola ${{y}^{2}}=4a(x+a)$ , if
	The equation of a tangent to the parabola ${{y}^{2}}=4ax$ making an angle $\theta $ with x-axis is
	The equation of the tangent to the parabola ${{y}^{2}}=4x+5$ parallel to the line $y=2x+7$ is
	The point of the contact of the tangent to the parabola ${{y}^{2}}=4ax$ which makes an angle of ${{60}^{o}}$ with x-axis, is