Q5 of 31 Page 229

In example 4, if r1 = 41 and r2 = 9, find AB.

From example 4,


Given that r1 = 41 and r2 = 9


Length of chord AB = 2


⇒ AB = 2


= 2


= 2


= 2 (40)


= 80


∴ AB = 80


More from this chapter

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3

A, B are the points on ⨀(O, r) such that tangents at A and B to the circle intersect in P. Show that the circle with as a diameter passes through A and B.

 4

⨀(O, r1) and ⨀(O, r2) are such that r1> r2. Chord AB of ⨀(O, r1) touches ⨀(O, r2). Find AB in terms of r1 and r2.

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P is the point in the exterior of ⨀(O, r) and the tangents from P to the circle touch the circle at X and Y.

(1) Find OP, if r = 12, XP = 5


(2) Find m∠XPO, if m∠XOY = 110


(3) Find r, if OP = 25 and PY = 24


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 2

Two concentric circles having radii 73 and 55 are given. The chord of the circle with larger radius touches the circle with smaller radius. Find the length of the chord.