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AP EAMCET · Maths · Circle

The equation of tangent to the circle \(x^2+y^2=1\), which is perpendicular to the line \(y=m x+1\); is

  1. A \(x+m y-\sqrt{1+m^2}=0\)
  2. B \(m x+y-\sqrt{1+m^2}=0\)
  3. C \(x+m y+\sqrt{1+m^2}=0\)
  4. D \(m x+y+\sqrt{1+m^2}=0\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(x+m y-\sqrt{1+m^2}=0\)

Step-by-step Solution

Detailed explanation

The equation of tangent to the circle \[ x^2+y^2=1 \text { is } y=m_1 x+\sqrt{1+m_1^2} \] The line is perpendicular to the line \(y=m x+1\)…