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In figure 2 :-P and xq …

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In figure 2 :-P and xq are two tangents to circle with center o , draw from an external point x. ARB is another tangent, touching the circle at R prove that XA +AR= XB+BR.
  • 1 answers

Sia ? 4 years, 10 months ago

We know that the lengths of tangents drawn from an exterior point to a circle are equal.
XP = XQ, ...(i) [tangents from X]
AP = AR, ... (ii) [tangents from A]
BR = BQ. ... (in) [tangents from B]
Now, XP = XQ {tex}\Rightarrow{/tex} XA + AP = XB + BQ
XA + AR = XB + BR [using (ii) and (iii)]

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