The Equation Of The Parabola Whose Axis Is Vertical And Passes Through The Points (0, 0), (3, 0) And (–1, 4), Is

If (4, 0) is the vertex and y-axis, the directrix of a parabola then its focus is

The straight line y = mx + c touches the parabola y² = 4a(x + a) if

The focus of the parabola x² – 2x – y + 2 = 0 is

If P₁Q₁ and P₂Q₂ are two focal chords of the parabola y² = 4ax, then the chords P₁P₂ and Q₁Q₂ intersect on the

The condition that the line  be a normal to the parabola  

y² = 4ax is

The equation of the normal to the hyperbola y² = 4x, which passes through the point (3, 0), is

PQ is a double of the parabola y² = 4ax. The locus of the points of trisection of PQ is

The locus of the point of intersection of the lines bxt – ayt = ab and bx + ay = abt is 

The line  will touch the parabola y² = 4a(x + a), if

The points on the parabola y² = 36x whose ordinate is three times the abscissa are