Question

Find the angle between the tangents of the parabola y2 = 8x, which are drawn from the point (2, 5).

Solution

Correct option is

Let  be a tangent of parabola y2 = 8x, if it passes through (2, 5),

then 

roots of the quadratic equation in m will give slope of tangents of the parabola y2 = 8x, which are passing through point (2, 5).

Angle between these tangents is given by  

     .

SIMILAR QUESTIONS

Q1

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

Q2

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

Q3

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

Q4

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

Q5

The equation  represents a parabola if  is

Q6

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

Q7

The vertex of the parabola y2 = 8x is at the center of a circle and the parabola cuts the circle at the ends of its latus rectum. Then the equation of the circle is

Q8

Find the equation of the parabola whose focus is (1, 1) and the directrix is x + y + 1 = 0.

Q9

If the line 2x + 3y = 1 touch the parabola y2 = 4ax at the pointP. Find the focal distance of the point P.

Q10

Find the locus of middle point of chord y2 = 4ax drawn through vertex.