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

Tangent are drawn from the points on the line xy5=0 to x2+4y2=4, then all the chords of contact pass through a fixed point, whose coordinate are

A
(45,15)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
(45,15)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
(45,15)
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
None of the these
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is C (45,15)
Equation of ellipse is given x2+4y2=4
Equation of chord of contact is T=0
xx1+4yy14=0...(1) which intersect with line xy5=0
Let x=ky=k5
From equation (1)
xk+4y(k5)4=0
k(x+4y)4(5y+1)=0
So, x+4y=0 and 5y+1=0
y=15 and x=45

flag
Suggest Corrections
thumbs-up
5
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Chords and Pair of Tangents
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon