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

# Tangent are drawn from the points on the line xâˆ’yâˆ’5=0 to x2+4y2=4, then all the chords of contact pass through a fixed point, whose coordinate are

A
(45,15)
No worries! Weâ€˜ve got your back. Try BYJUâ€˜S free classes today!
B
(45,15)
No worries! Weâ€˜ve got your back. Try BYJUâ€˜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! Weâ€˜ve got your back. Try BYJUâ€˜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+4yy1−4=0...(1) which intersect with line x−y−5=0 Let x=k⇒y=k−5 From equation (1) xk+4y(k−5)−4=0 ⇒k(x+4y)−4(5y+1)=0 So, x+4y=0 and 5y+1=0 ⇒y=−15 and x=−45

Suggest Corrections
5
Join BYJU'S Learning Program
Related Videos
Chords and Pair of Tangents
MATHEMATICS
Watch in App
Explore more
Join BYJU'S Learning Program