solution isn't here (Question:555556.0)

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Surabhi

· started a discussion

· 1 Months ago

solution isn't here (Question:555556.0)

give a brief explaination

Question:

In the given figure, two identical circles of radius 4cm touch each other. A and B are the centres of the two circles. If RQ is a tangent to the circle, then what is the length (in cm) of RQ?

Options:

3√3

2√6

4√2

6√2

Solution:

AQ = Radius of circle = 4cm

Let RQ = RS =x

$\begin{matrix} P S^{2} = P C \times P Q \\ P S^{2} = 8 \times 16 \\ P S = 8 \sqrt{2} c m \\ I n Δ R Q P \\ x^{2} + 1 6^{2} = {(x + 8 \sqrt{2})}^{2} \\ x^{2} + 256 = x^{2} + 128 + 16 \sqrt{2} x \\ x = 4 \sqrt{2} c m \end{matrix}$

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