AP EAMCET · Maths · Circle
If tangents are drawn to the circle \(x^2+y^2=12\) at the points where it intersects the circle \(x^2+y^2-5 x+3 y-2=0\), then the coordinates of the point of intersection of those tangents are
- A \(\left(-6, \frac{18}{5}\right)\)
- B \(\left(6, \frac{18}{5}\right)\)
- C \(\left(-6, \frac{-18}{5}\right)\)
- D \(\left(6, \frac{-18}{5}\right)\)
Answer & Solution
Correct Answer
(D) \(\left(6, \frac{-18}{5}\right)\)
Step-by-step Solution
Detailed explanation
Let \((h, k)\) be the point of intersection of the tangents. Then, the chord of contact of tangents is the common chord of the circles \(x^2+y^2=12\) and \(x^2+y^2-5 x+3 y-2=0\). The equation of the common chord is Eqs. (i) and (ii) represents the same line. Therefore,…
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