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In the Figure, Xp and Xq Are Tangents from X to the Circle with Centre O. R is a Point on the Circle. Prove that Xa + Ar = Xb + Br. - Mathematics

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प्रश्न

In the figure, XP and XQ are tangents from X to the circle with centre O. R is a point on the circle. Prove that XA + AR = XB + BR. 

योग

उत्तर

XP = XQ 

AR = AP 

BR = BQ  {Length of tangents drawn from an external point to a circle are equal} 

XP = XQ 
 
XA + AP = XB + BR 

XA + AR = XB + BR        {Using {1)} 

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अध्याय 17: Circles - Exercise 17.3

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फ्रैंक Mathematics - Part 2 [English] Class 10 ICSE
अध्याय 17 Circles
Exercise 17.3 | Q 16

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