Question

The equation of the directrix of the parabola y2 + 4y + 4x + 2 = 0 is  

Solution

Correct option is

Then given equation can be written as

           

From Y2 = 4AX where 4A = – 4 or 

                    x - 1/2 = - (-1) or x = 3/2

                 .

SIMILAR QUESTIONS

Q1

Find the locus of a pint P which moves such that two of the three normal’s drawn from it to the parabola y2 = 4ax are mutually perpendicular.

Q2

If normal at the point (at2, 2at) in the parabola y2 = 4axintersects the parabola again at the (am2, 2am), then find the minimum value of m2.

Q3

The equation of circle touching the parabola y2 = 4x at the point  (1, –2) and passing through origin is

Q4

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

Q5

Slope of common tangent to parabolas y2 = 4x and x2 = 8y is

Q6

If a focal chord with positive slope of the parabola y2 = 16xtouches the circle x2 + y2 – 12+ 34 = 0, then m is

Q7

If 2y = x + 24 is a tangent to parabola y2 = 24x, then its distance from parallel normal is

Q8

PQ is a focal chord of the parabola y2 = 4axO is the origin. Find the coordinates of the centroid, G, of triangle OPQ and hence find the locus of G as PQ varies.

Q9

Find the shortest distance between the circle x2 + y2 – 24y + 128 = 0 and the parabola y2 = 4x.

Q10

If the line x – 1 = 0 is the directrix of the parabola y– ky + 8 = 0, then one of the of the value of k is