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From any point on the line 2x + y = 1, tangents are drawn to the circle x^2 +y^2 = 9, then the chords of contact pass through a fixed point (A) (18, 9) (B) (9, 18) (C) (9,9) (D) (18,18)

From any point on the line 2x + y = 1, tangents are drawn to the circle x^2 +y^2 = 9, then the chords of contact pass through a fixed point (A) (18, 9) (B) (9, 18) (C) (9,9) (D) (18,18)

Grade:11

1 Answers

Vikas TU
14149 Points
6 years ago
Assume that point in parametric form on line 2x + y =  1
as:
(x , 1-2x)
and apply chords of contact concept here that is:
T = 0.
and put the point (x,1-2x). and try to satisfy the options sequentially.

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