+91-87964 74404
FlagBACK
Question icon
Grade 11Analytical Geometry

Find the length of the normals drawn for the point on the axis on the parabola y^2=8ax whose distance from the focus is 8a

Profile image of Ramiz
8 Years agoGrade 11
Answers icon

1 Answer

Profile image of Arun
8 Years ago
for parabola
y2 = 8a* x
eqn of normals =
x*t + y = 4at + 2at3
put (10a,0)
10at = 4at + 2at3
on solving,
t = 0, t =  – \sqrt3, t = \sqrt3
 
length of first normal = length of second normal
 = \sqrt[(4a)2 + (4a\sqrt3)2 ] = 8a    (answer)
 
i am unable to upload a picture of soltuion here. but you can simply understand how these points are plot

Other Related Questions on analytical geometry

question mark
  • The locus of the point represented by x= t^2 +t+1 and y=t^-t+1 is 
analytical geometry
1 Answer Available

Last Activity: 4 Years ago

question mark
show that the centroids of the triangles of which three perpendiculars lie along the lines y=m1x,y=m2x,y=m3x lie on y(3+m2m3+m3m2+m1m2)=x(m1+m2+m3+3m1m2m3)
analytical geometry
1 Answer Available

Last Activity: 4 Years ago

question mark
show that the equation (ab-h²)(ax²+2hxy+by²+2gx+2fy)+af²+bg²-2fgh=0 represent a pair of straight lines and that these straight lines form a rhombus with the lines ax²+2hxy+by²=0
analytical geometry
1 Answer Available

Last Activity: 4 Years ago

question mark
A circle has its center on straight line 5x-2y+1=0 and cuts the x axis at two points whose absciasse are -5,3 find equation of the circle and it's radius. 
 
analytical geometry
1 Answer Available

Last Activity: 4 Years ago

question mark
Prove that ax^2+by^2+cz^2 +2ux+2vy+2wz+d=0 represent a cone if u^2/a+v^/b+w^2/c=d
analytical geometry
1 Answer Available

Last Activity: 4 Years ago