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

The line segment joining (5,0) and (10cosθ,10sinθ) is divided internally in the ratio 2:3 at P. If θ varies, then the locus of P is

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

The correct option is B a circle
Let the coordinates of point P be (x,y). Then,
x=20cosθ+155
and y=20sinθ+05
x=4cosθ+3 and y=4sinθ
x3=4cosθ and y=4sinθ
(x3)2+y2=16
which is an equation of a circle.

flag
Suggest Corrections
thumbs-up
1
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Straight Line
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon