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

A circle touches a given straight line and cutsoff a constant length 2d from another straight line perpendicular to the first straight line. The locus of the centre of the circle is

A
hyperbola
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
circle
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
parabola
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
Pair of perpendicular lines
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A hyperbola
let the equation of the circle x2+y2+2gx+2fy+c=0
It is touching x axis.The equation of the circle becomes
x2+2gx+c=0
Since , it is touching x axis.D=0
g2=c
Intercept made on y axis=2f2c
2f2c=2d
f2c=d2
f2g2=d2
y2x2=d2

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