Questions in conic-section

Select	Question
	Curve $16{{x}^{2}}+8xy+{{y}^{2}}-74x-78y+212=0$ represents
	The length of the latus rectum of the parabola $9{{x}^{2}}-6x+36y+19=0$
	The axis of the parabola $9{{y}^{2}}-16x-12y-57=0$ is
	The vertex of a parabola is the point (a, b) and latus rectum is of length l. If the axis of the parabola is along the positive direction of y¬-axis, then its equation is
	If the vertex of the parabola $y={{x}^{2}}-8x+c$ lies on x-axis, then the value of c is
	The points of intersection of the curves whose parametric equations are $x={{t}^{2}}+1,\ y=2t$ and $x=2s,\ y=\frac{2}{s}$ is given by
	The latus rectum of the parabola ${{y}^{2}}=5x+4y+1$ is
	The equation of the locus of a point which moves so as to be at equal distances from the point (a, 0) and the y-axis is
	The focus of the parabola ${{x}^{2}}=2x+2y$ is
	Latus rectum of the parabola ${{y}^{2}}-4y-2x-8=0$ is