(A) Let the two circles be $S_1 = 0$ and $S_2 = 0$. The radical axis is defined by $S_1 - S_2 = 0$. For any point $P$ on the radical axis,the lengths

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(A) Let the two circles be $S_1 = 0$ and $S_2 = 0$. The radical axis is defined by $S_1 - S_2 = 0$. For any point $P$ on the radical axis,the lengths of the tangents drawn to the two circles are equal. Therefore,$PQ = PR$. Since two sides of the triangle $\triangle PQR$ are equal,the triangle is isosceles.

Class 11 Mathematics 10-1.Circle and System of Circles System of circles

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Two tangents are drawn from a point $P$ on the radical axis to two circles,touching them at $Q$ and $R$ respectively. Then,the triangle formed by joining $P, Q,$ and $R$ is:

A
Isosceles
B
Equilateral
C
Right angled
D
None of these

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10-1.Circle and System of Circles

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Two tangents are drawn from a point $P$ on the radical axis to two circles,touching them at $Q$ and $R$ respectively. Then,the triangle formed by joining $P, Q,$ and $R$ is:

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