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AP EAMCET · Maths · Circle

The equations of the tangents to the circle x2+y2=4 drawn from the point (4,0) are

  1. A y=±13(x4)
  2. B y=±23(x4)
  3. C x=±13(y4)
  4. D x=±23(y4)
Verified Solution

Answer & Solution

Correct Answer

(A) y=±13(x4)

Step-by-step Solution

Detailed explanation

A line passing through point 4, 0, with slope m is given by y=mx-4m  ...1  ⇒ mx-y-4m=0 Given, x2+y2=4, Centre 0, 0 and Radius=2 As, the given line is tangent to the circle, hence, the perpendicular distance from the centre to the tangent is…