If the normals to the parabola y^2=4a x ...

If the normals to the parabola `y^2=4a x` at the ends of the latus rectum meet the parabola at `Qa n dQ^(prime),` then `QQ '` is `10 a` (b) `4a` (c) `20 c` (d) `12 a`

Topper's Solved these Questions

Parabola
A DAS GUPTA|Exercise EXERCISE|51 Videos
Pair of Straight Lines and Transformation of Axes
A DAS GUPTA|Exercise EXERCISE|22 Videos
Product of three or more Vectors
A DAS GUPTA|Exercise Exercise|28 Videos

Similar Questions

Explore conceptually related problems

If the normals to the parabola y^(2)=4ax at the ends of the latus rectum meet the parabola at Q and Q', then QQ' is (a)10a(b)4a(c)20a(d)12a

Find the equations of normal to the parabola y^(2)=4ax at the ends of the latus rectum.

The normal to y^(2)=4a(x-a) at the upper end of the latus rectum is

The ends of the latus rectum of the parabola (x-2)^(2)=-6(y+1) are

The ends of latus rectum of parabola x^(2)+8y=0 are

Find the length of the latus rectum of the parabola x^(2) = -8y .

A DAS GUPTA-Parabola-EXERCISE

If the focus =(2,3)and directrix is x+y=1 then the equation of the par...
Text Solution
|
The line x+y+1=0touches the parabola y^2=kx if k=.
Text Solution
|
If the normals to the parabola y^2=4a x at the ends of the latus rectu...
Text Solution
|
Write the length of het chord of the parabola y^2=4a x which passes th...
Text Solution
|
Find the condition that the line x cosalpha + y sin alpha=p touches th...
Text Solution
|
The point of intersection of the tangents at the ends of the latus ...
Text Solution
|
Find the angle between the tangents drawn from (1, 3) to the parabola ...
Text Solution
|
Find the equation of the circle described on the line segment joining ...
Text Solution
|
A double ordinate of the parabola y^2 = 8px is of length 16p. The angl...
Text Solution
|
The equation of parabola whose vertex and focus lie on the axis of x a...
Text Solution
|
f the normal at the point P (at1, 2at1) meets the parabola y^2=4ax agu...
Text Solution
|
If the tangents to the parabola y^2=4axat the points (x1,y1)and ((x2,y...
Text Solution
|
Find the condition that the line x cosalpha + y sin alpha=p touches th...
Text Solution
|
The angle between the tangents drawn from the origin to the parabola y...
Text Solution
|
The equation of a tangent to the parabola y^2=""8x""i s""y""=""x""+...
Text Solution
|
If't1'and't2'be the ends of a focal chord of the parabola y^2=4ax then...
Text Solution
|
The general equation to a system of parallel chords of the parabola y^...
Text Solution
|
P is a point on the parabola y^2= 4ax and PQ is its focal chord. If PT...
Text Solution
|
The radius of the circle whose centre is (-4,0) and which cuts the par...
Text Solution
|
Let C1 and C2 be parabolas x^2 = y - 1 and y^2 = x-1 respectively. Let...
Text Solution
|