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

The point on the y-axis which is equidistant from A(5,2) and B(3,2) is

A
(4,0)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
(0,2)
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
(2,0)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
(0,4)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B (0,2)

Let the point on the y-axis be (0,y).
Distance between (0,y) and (5,2)=(50)2+(2y)2=25+42+y2+4y=y2+4y+41
Distance between (0,y) and (3,2)=(30)2+(2y)2=9+42+y24y=y24y+25
As the point (0,y) is equidistant from the two points, both the distances calculated are equal.
y2+4y+41=y24y+25
=>y2+4y+41=y24y+25
=>16=8y
=>y=2

Thus, the point is (0,2).


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