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

The perimeter of a triangle is 20 and the points (-2, -3) and (-2, 3) are two of the vertices of it. Then the locus of third vertex is :

A
(x2)249+y240=1
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
(x+2)249+y240=1
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
(x+2)240+y249=1
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
(x2)240+y249=1
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is C (x+2)240+y249=1
A(2,3),B(2,3)
Let the third vertex be C(x,y)
AB + BC+CA=20
BC+CA=14
So locus of C is ellipse with A,B as focii.
2a=14
2ae=6
e=37
we get b as 40
Equation of ellipse is (x+2)240+y249=1

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