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

The Equation of chord of contact of x225+y216=1is4x+5y20=0 Find the point from which the tangents are drawn


A

(4, 5)

No worries! We‘ve got your back. Try BYJU‘S free classes today!
B

(6, 5)

No worries! We‘ve got your back. Try BYJU‘S free classes today!
C

(4, 6)

No worries! We‘ve got your back. Try BYJU‘S free classes today!
D

(5, 4)

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

The correct option is D

(5, 4)


Let the point be (x_1,y_1).
The equation of chord of contact is given by T = 0

xx125+yy116=1 .....(1)

This is given as 4x + 5y - 20 = 0

Orx5+y4=1 ....(2)

Comparing (1) and (2)

x125=15andy116=14

(x1,y1)=(5,4)


flag
Suggest Corrections
thumbs-up
0
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