Question

The point on the parabola y2 = 8x at which the normal is inclined at 600 to the x-axis has the coordinates

Solution

Correct option is

y2 = 8x  

                            …(2)

Out this in (1), 16 (3) = 8x

                        .

Point P(x, y)is P 

SIMILAR QUESTIONS

Q1

Equation of locus of a point whose distance from point (a, 0) is equal to its distance from y-axis is

Q2

Through the vertex O of parabola y2 = 4x, chords OP and OQ are drawn at right angles to one another. The locus of the middle point of PQ is

Q3

The locus of the mid-point of the line segment joining the focus to a moving point on the parabola y2 = 4ax is another parabola with directrix

Q4

The equation of common tangent to the curves y2 = 8x and xy = –1 is

Q5

From the point (–1, 2) tangent lines are drawn to the parabola y2 = 4x, then the equation of chord of contact is

Q6

For the above problem, the area of triangle formed by chord of contact and the tangents is given by

Q7

A point moves on the parabola y2 = 4ax. Its distance from the focus is minimum for the following value(s) of x.

Q8

The line x – y + 2 = 0 touches the parabola y2 = 8x at the point

Q9

If t is the parameter for one end of a focal chord of the parabola y2 = 4ax, then its length is

Q10

The length of the latus rectum of the parabola 9x2 – 6x + 36y + 19 = 0 is