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

If A=(5,0) and B=(0,4), then the locus of moving point P such that |PA|2|PB|2=9 is

A
5x4y=0
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
4x5y=0
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
5x+4y=0
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
4x+5y=0
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A 5x4y=0
Let P(x,y) be an arbitrary point satisfying the condition.Then we have |PA|2|PB|2=9
((x5)2+y2)(x2+(y4)2)=9
10x+25+8y16=9
5x4y=0
Hence, the equation of the locus of P is 5x4y=0

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