Question

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

Solution

Correct option is

If t is the value of one end P, then  is value of parameter for end Q of focal chord PQ.

        

      

SIMILAR QUESTIONS

Q1

The slope of the normal at the point (at2, 2at) of parabola y2 = 4ax  is

Q2

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

Q3

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

Q4

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

Q5

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

Q6

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

Q7

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

Q8

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

Q9

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

Q10

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