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)

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Analytical Geometry> The chords of contact of the pair of tang...

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)

John Doe , 11 Years ago

Grade 12th pass

2 Answers

Arun Kumar

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

Approved

Last Activity: 11 Years ago

Rishi Sharma

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

Last Activity: 5 Years ago

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Analytical Geometry> The chords of contact of the pair of tang...

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)

John Doe , 11 Years ago

Arun Kumar

Rishi Sharma

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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)