Question

The equation  represents a parabola if  is

Solution

Correct option is

4

 0 for all real  and

      h2 = ab

SIMILAR QUESTIONS

Q1

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

Q2

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

Q3

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

Q4

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

Q5

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

Q6

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

Q7

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

Q8

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

Q9

x – 2 = t2y = 2t are the parameter equations of the parabola 

Q10

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