wiz-icon
MyQuestionIcon
MyQuestionIcon
8
You visited us 8 times! Enjoying our articles? Unlock Full Access!
Question

A rod AB of the length 30 units slips on the coordinate axes such that A lies on xaxis and B lies on yaxis. Then, the locus of C if BC=2AC is

A
x2+4y2=400
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
4x2+y2=400
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
x2+4y2=100
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
4x2+y2=100
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A x2+4y2=400
Let the points are A(a,0) and B(0,b)
a2+b2=30(1)
Let the coordinates of C is C(h,k)
C divides the rod AB into 2:1 ratio
h=2a3a=3h2k=b3b=3k
From (1)
9k2+9h24=302h2+4k2=400
locus of C is
x2+4y2=400

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