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Grade 12th passAnalytical Geometry

The chords of contact of the pair of tangents drawn from each point on the line 2x + y = 4 to the circle x2+y2 = 1 pass through a fixed point-
(a) (2,4)
(b) (-1/2,-1/4)
(c) (1/2, 1/4)
(d) (-2, -4)

Profile image of John Doe
12 Years agoGrade 12th pass
Answers icon

2 Answers

Profile image of Arun Kumar
ApprovedApproved Tutor Answer12 Years ago
Hello Student,

Equation of chord of contact:
hx+ky=1
(h, k) lie on the line, we have
2h+k=4
hx+(4-2h)y=4
=>(1/2, 1/4)

Thanks & Regards
Arun Kumar
Btech, IIT Delhi
Askiitians Faculty
Profile image of Rishi Sharma
5 Years ago
Dear Student,
Please find below the solution to your problem.

Equation of chord of contact:
hx+ky=1
(h, k) lie on the line, we have
2h+k=4
hx+(4-2h)y=4
=>(1/2, 1/4)

Thanks and Regards

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