AP EAMCET · Maths · Circle
If \(5 x-12 y+10=0\) and \(12 y-5 x+16=0\) are two tangents to a circle, then the radius of the circle is
- A 1
- B 2
- C 4
- D 6
Answer & Solution
Correct Answer
(A) 1
Step-by-step Solution
Detailed explanation
Given that, \(5 x-12 y+10=0\) \(\ldots\) (i) and \(\quad-5 x+12 y+16=0\) \(\ldots\) (ii) Slope of Eq. (i) \(=\frac{5}{12}\) Slope of Eq. (ii) \(=\frac{5}{12}\) Thus, Eqs. (i) and (ii) are parallel. Therefore, distance between parallel lines \(=\) diameters of the circle.…
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