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AP EAMCET · Maths · Circle

If the parametric values of two points \(A\) and \(B\) on the circles \(x^2+y^2-6 x+4 y-12=0\) are \(30^{\circ}\) and \(90^{\circ}\) respectively, then the equation of chord \(\mathbf{A B}\) is

  1. A \(x+\sqrt{3} y=0\)
  2. B \(x-\sqrt{3} y=0\)
  3. C \(x+\sqrt{3} y-3(1+\sqrt{3})=0\)
  4. D \(\sqrt{3} x+\sqrt{3} y+61=0\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(x+\sqrt{3} y-3(1+\sqrt{3})=0\)

Step-by-step Solution

Detailed explanation

Given, equation of circle \[ x^2+y^2-6 x+4 y-12=0 \] \[ (x-3)^2+(y+2)^2=(5)^2 \] parametric form of circle is…