The locus of the point of intersection of two perpendicular tangents to a circle is called
Show Hint
- point circle
- circumcircle
- director circle
- auxiliary circle
The Correct Option is C
Solution and Explanation
For a circle, the locus of intersection of perpendicular tangents is a concentric circle.
Step 2: Detailed Explanation:
For a circle $x^2 + y^2 = a^2$, the equation of the director circle is $x^2 + y^2 = 2a^2$. This is the locus of points from which perpendicular tangents can be drawn to the given circle.
Step 3: Final Answer:
It is called the director circle.
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