Multiple choice

A circle touches the sides AB and AD of the rectangle ABCD at P and Q respectively and passes through the vertex C. If the distance of C from chord PQ is 5 units and the area of the rectangle is $\lambda$, then find the value of $\frac{\lambda }{5}$

  1. 2

  2. 5

  3. 10

  4. 25
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B Correct answer
Explanation

Let the circle have radius R. The rectangle has sides a and b. The distance from C to chord PQ is related to the geometry of the circle. Based on standard problems of this type, the area lambda is 25, so lambda/5 = 5.

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