Multiple choice

The ratio between radius of two concentric circles are 5 : 3. Find the ratio between length of tangent of smaller circle whose ends are at the cirfcrcumference of the largest circle to the diameter of smaller circle. दो संकेन्द्रीय वृत्तों की त्रिज्याओं का अनुपात 5 : 3 है तो छोटे वृत्त पर स्पर्श रेखा जिसके अंत बिंदु बड़े वृत्त के परिधि पर है तथा छोटे वृत्त के व्यास के बीच का अनुपात ज्ञात कीजिए |

  1. 3:4

  2. 4:3

  3. 2:3

  4. 3:2

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B Correct answer
Explanation

For concentric circles with radii 5 and 3, using Pythagoras theorem on the right triangle formed by the radius of larger circle (5), radius of smaller circle (3), and half the tangent: tangent² = 5² - 3² = 16, so tangent length = 4. The diameter of smaller circle = 2×3 = 6. Therefore, ratio of tangent to diameter = 4:6 = 4:3 in simplified form.