CBSE 2022 · Region 3 · Set 2 · Q12

(a)

In Figure $\displaystyle 3$, two circles with centres at O and $\displaystyle \mathrm{O}^{\prime}$ of radii $\displaystyle 2$ r and r respectively, touch each other internally at A. A chord AB of the bigger circle meets the smaller circle at C. Show that C bisects AB.

(a)

(a)

Figure $\displaystyle 3$ 賿

(b)

In Figure $\displaystyle 4$, O is centre of a circle of radius $\displaystyle 5$ cm . PA and BC are tangents to the circle at A and B respectively. If $\displaystyle \mathrm{OP}=13 \mathrm{~cm}$, then find the length of tangents PA and BC.

(b)

(b)

Figure $\displaystyle 4$

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