‘t1’ And ‘t2’ Are Two Points On The Parabola y2 = 4x. If The Chord Joining Them Is A Normal To The Parabola At ‘t1’ Then

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 equation of the parabola whose axis is vertical and passes through the points (0, 0), (3, 0) and (–1, 4), is

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

The points on the parabola y² = 12x whose focal distance is 4, are

Axis of the parabola x² – 4x – 3y + 10 = 0 is  

The equation of the latus rectum of the parabola x² + 4x + 2y = 0 is 

x – 2 = t², y = 2t are the parameter equations of the parabola 

The equation  represents a parabola if  is

The vertex of the parabola y² = 8x is at the center of a circle and the parabola cuts the circle at the ends of its latus rectum. Then the equation of the circle is