Question

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

Solution

Correct option is

9y2 = 4ax

Required locus is (3y)2 = 4ax

  9y2 = 4ax

SIMILAR QUESTIONS

Q1

The pole of the line lx + mx + n = 0 with respect to the parabola y2 = 4ax is

Q2

Two tangent are drawn from the point (–2, –1) to the parabola y2 = 4x. if  is the angle between them, then 

Q3

The conic represented by the equation  is

Q4

If (4, 0) is the vertex and y-axis, the directrix of a parabola then its focus is

Q5

The straight line y = mx + c touches the parabola y2 = 4a(x + a) if

Q6

The focus of the parabola x2 – 2x – y + 2 = 0 is

Q7

If P1Q1 and P2Q2 are two focal chords of the parabola y2 = 4ax, then the chords P1P2 and Q1Q2 intersect on the

Q8

The condition that the line  be a normal to the parabola  

y2 = 4ax is

Q9

The equation of the normal to the hyperbola y2 = 4x, which passes through the point (3, 0), is

Q10

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