CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

A point P(2, -1) is equidistant from the points (a, 7) and (-3, a). Find a.

A
5
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
1
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
3
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
7
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

The correct option is D 7
Given, the point P(2, -1) is equidistant from the points A(a, 7) and B(-3, a).
So, we have
PA=PB
PA2=PB2
By using the distance formula, we have
(a2)2+(7+1)2=(32)2+(a+1)2
a2+44a+64=25+a2+1+2a
684a=26+2a
6a = 42
a = 7
Hence, the value of a is 7.

flag
Suggest Corrections
thumbs-up
4
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Coordinate of a Point in Space
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon