wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

The circles on the focal length of a parabola as diameter always touches

A
The tangent at the vertex
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
The axis
No worries! Weā€˜ve got your back. Try BYJUā€˜S free classes today!
C
The directrix
No worries! Weā€˜ve got your back. Try BYJUā€˜S free classes today!
D
Latus rectum
No worries! Weā€˜ve got your back. Try BYJUā€˜S free classes today!
Open in App
Solution

The correct option is A The tangent at the vertex
The circle on SP as diameter is
(xat21)(xa)+(y2at1)y=0x2+y2ax(t21+1)2ayt1+a2t21=0


The y intercept of the circle will be
2f2c=a2t21a2t21=0
y intercept made by circle is 0 hence circle will touch the yaxis which is tangent at the vertex.

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Line and a Parabola
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon