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

If P(x,y) divides the line segment joining A(5,0) and B(10cosθ,10sinθ) internally in the ratio 2:3, then which of the following is (are) true?

A
Distance of P from (3,0) is always constant.
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
x[0,3]
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
y[4,0]
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
x2+y26x7=0
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

The correct options are
A Distance of P from (3,0) is always constant.
D x2+y26x7=0
By section formula,
(x,y)=(20cosθ+155,20sinθ+05)
=(4cosθ+3,4sinθ)
x=4cosθ+3,y=4sinθ

Since, cosθ and sinθ[1,1]
x[1,7] and y[4,4]

Distance of P from (3,0) is (x3)2+y2 =16sin2θ+16cos2θ=4, which is a constant.
(x3)2+y2=42
x2+y26x7=0


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